Media size (SRA3): 320mm x 450mm
Image size: 5400px x 3850px
Media or image needs to be rotated to prevent severe distortion of the image (keepaspectratio=false) or larger margins (keepaspectratio=true).
Package geometry can be used to set the paper size and package pdfpages also works with images.
If the image is rotated, then package pdflscape tells the PDF viewer to rotate the viewed page.
After rotation the ratios are 1.40625 vs. 1.4026. The difference is quite small, depending on the image and application distortion of the image might be acceptable to avoid a small margin otherwise.
The margin area can be colored using \pagecolor of package graphics (also loaded by package pdfpages).
Some examples that uses a lolcat.jpg from a StackExchange error page (also found here).
Media rotation without distortion, black margins
\documentclass{article}
\usepackage[
paperwidth=320mm,
paperheight=450mm,
landscape,
]{geometry}
\usepackage{pdfpages}
\pagecolor{black}
\begin{document}
\includepdf{lolcat.jpg}
\end{document}

Image rotation with distortion
\documentclass{article}
\usepackage[
paperwidth=320mm,
paperheight=450mm,
]{geometry}
\usepackage{pdflscape}
\usepackage{pdfpages}
\begin{document}
\begin{landscape}
\includepdf[
angle=90,
keepaspectratio=true,
width=\paperwidth,
height=\paperheight
]{lolcat.jpg}
\end{landscape}
\end{document}
