Finding the Fourth Proportional to 728,698,653,719.30, 1,005,635,752,555.30 and 403,537,945,531.60
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Solution
The fourth proportional to 728,698,653,719.30, 1,005,635,752,555.30 and 403,537,945,531.60 is: 556,899,870,018.99
Step by Step Solution
- Step 1: Write the proportion equation
728,698,653,719.30 : 1,005,635,752,555.30 = 403,537,945,531.60 : x - Step 2: Convert to fraction form
728,698,653,719.30/1,005,635,752,555.30 = 403,537,945,531.60/x - Step 3: Cross multiply
728,698,653,719.30x = 1,005,635,752,555.30 × 403,537,945,531.60 - Step 4: Simplify right side
728,698,653,719.30x = 405,812,185,539,290,190,577,664 - Step 5: Solve for x
x = 405,812,185,539,290,190,577,664/728,698,653,719.30 - Step 6: Final answer
x = 556,899,870,018.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.