Finding the Fourth Proportional to 687,745,718.10, 1,031,618,577.15 and 442,857,705.30
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Solution
The fourth proportional to 687,745,718.10, 1,031,618,577.15 and 442,857,705.30 is: 664,286,557.95
Step by Step Solution
- Step 1: Write the proportion equation
687,745,718.10 : 1,031,618,577.15 = 442,857,705.30 : x - Step 2: Convert to fraction form
687,745,718.10/1,031,618,577.15 = 442,857,705.30/x - Step 3: Cross multiply
687,745,718.10x = 1,031,618,577.15 × 442,857,705.30 - Step 4: Simplify right side
687,745,718.10x = 456,860,235,821,500,032 - Step 5: Solve for x
x = 456,860,235,821,500,032/687,745,718.10 - Step 6: Final answer
x = 664,286,557.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.