How do I resize placed tkinter widgets when the window is resized?

Question

I have read the other questions posted on this site and could not solve my issue. I am working on a tkinter app and to make it look as good as possible I chose to use .place() to show the widgets on the screen. The values of x and y are fixed for each widget but I want the window to be resizable and the widgets to adapt keeping the same ratio. See the code attached and how the GUI looks

import tkinter as tk
from tkinter import messagebox


class MyClass:
    def __init__(self, root):
        self.root = root
        self.root.title("App")
        self.root.geometry("600x300")

        self.welcome_label = tk.Label(self.root, text="Welcome", justify="center", fg="blue", font=("Arial", 24))
        self.welcome_label.place(x=230, y=40)

        self.username_label = tk.Label(self.root, text="Username:")
        self.username_label.place(x=140, y=100)
        self.username_box = tk.Entry(self.root, bd=3, selectbackground="#e5e3e3")
        self.username_box.place(x=230, y=100)

        self.password_label = tk.Label(self.root, text="Password:")
        self.password_label.place(x=140, y=150)
        self.password_box = tk.Entry(self.root, bd=3, selectbackground="#e5e3e3")
        self.password_box.place(x=230, y=150)

        self.log_in_buttonn = tk.Button(self.root, text="Log In", justify="center", command=self.log_inn)
        self.log_in_buttonn.place(x=470, y=230, width=70, height=50)
        self.register_button = tk.Button(self.root, text="Register", command=self.register)
        self.register_button.place(x=100, y=230, width=70, height=50)

    def log_inn(self):
        ...
    def register(self):
        ...


if __name__ == "__main__":
    roott = tk.Tk()
    app = MyClass(roott)
    roott.mainloop()

smaller window:

bigger window:

normal and default: