\documentclass{article}
\usepackage{ltablex}
\textheight=4in
\begin{document}
% we want a table that is \textwidth long, has 4 columns, columns 1
% and 3 are auto sized with the 3rd columns being 3 times wider than
% the first column.
%
\begin{tabularx}{\linewidth}%
{|>{\setlength{\hsize}{.5\hsize}\raggedright\arraybackslash}X| % col 1; auto-sized ragged right
c| % col 2; default centered
>{\setlength{\hsize}{1.5\hsize}\raggedleft\arraybackslash}X|% col 3; auto-sized ragged left
l|} % col 4; default left-justified
\caption*{The Table Caption}\\
\hline
F-Head1 & F-Head2 & F-Head3 & F-Head4\\
\hline
\hline
\endfirsthead
\hline
Head1 & Head2 & Head3 & Head4\\
\hline
\hline
\endhead
\hline
\hline
Foot1 & Foot2 & Foot3 & Foot4\\
\hline
\endfoot
\hline
\hline
L-Foot1 & L-Foot2 & L-Foot3 & L-Foot4\\
\hline
\endlastfoot
This is a very long sentence not likely to fit&
not too long&
This is another very long sentence not likely to fit&
not long\\
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