there are a lot of process during traduction, allowing quantity of each protein to keep stable even when expression is down or up, until it ends. the second issue is the lifespan of proteins, between production, modification, storage, use, state of the cells and degradation, this life could have an impact on detected quantities.
There are a number of reasons for the poor correlation between mRNA and protein levels which is generally reported in the literature, and these may not be mutually exclusive.
There are many complicated and varied post-transcriptional mechanisms involved in turning mRNA into protein that are not yet sufficiently well defined to be able to compute protein concentrations from mRNA.
Proteins may differ substantially in their in vivo half-lives.
There could be a significant amount of error and noise in both protein and mRNA experiments that could limit our ability to get a clear picture.
You may want to refer to the attached article for more information on this subject.
Article Greenbaum D, Colangelo C, Williams K, Gerstein M. Comparing ...