Finding the Fourth Proportional to 715,977,909.25, 988,042,376.11 and 398,432,716.10
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Solution
The fourth proportional to 715,977,909.25, 988,042,376.11 and 398,432,716.10 is: 549,833,175.65
Step by Step Solution
- Step 1: Write the proportion equation
715,977,909.25 : 988,042,376.11 = 398,432,716.10 : x - Step 2: Convert to fraction form
715,977,909.25/988,042,376.11 = 398,432,716.10/x - Step 3: Cross multiply
715,977,909.25x = 988,042,376.11 × 398,432,716.10 - Step 4: Simplify right side
715,977,909.25x = 393,668,407,535,405,056 - Step 5: Solve for x
x = 393,668,407,535,405,056/715,977,909.25 - Step 6: Final answer
x = 549,833,175.65
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1.5x scale
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.