5. (5 points) In the figure, the difference between each number on the right and its adjacent number on the left in every row is equal, and the quotient of each number below divided by its adjacent number above is equal, then $a+b \times c=$ $\qquad$

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【Analysis】First, analyze the problem: rows are arithmetic, and columns are geometric. Find the common difference of the first row and the common ratio of the sequence.

【Solution】Solution: According to the problem, the rows are arithmetic, and the columns are geometric. Based on the rows being arithmetic sequences, the numbers in the first row are $2,4,6,8$. The columns are geometric sequences, so $18 \div 2=9$. Therefore, $c$ is 3 times 2, which is 6. $a$ is 27 times 4. $4 \times 27=108$. $b$ is 9 times 8, which is 72.
$$
a+b \times c=108+72 \times 6=540 \text {. }
$$

Therefore, the answer is: 540