Compute real length from perspective

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Given the two green lines and the real distance between them (blue lines), is it possible to calculate where in the picture would be placed a point 4.5m away from a certain initial point (red line)?

perspective

I've been reading other posts about this and it is not clear to me if I need more data to compute this, but I think I do.


EDIT

As said in the comments, I know the line equation of the green lines and the angle they form between them. I also know the length of the blue lines (in the picture and the real one) and the distance between them in the picture, but I don't know their distance in real life.

The conclusions I've arrived so far are:

  • Since the four points aren't collinear and I don't have any real distances along lines converging to vanishing point, I can't use the cross ratio.
  • Given that I don't have the real distance between the blue lines I can't scale along green lines.
  • The only thing I've found that might be helpful is projective transformation, but since my lack of knowledge in the subject I don't know how to apply it to my problem.