Finding the Fourth Proportional to 930,708,114.66, 1,284,376,884.93 and 513,027,375.12
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Solution
The fourth proportional to 930,708,114.66, 1,284,376,884.93 and 513,027,375.12 is: 707,977,604.97
Step by Step Solution
- Step 1: Write the proportion equation
930,708,114.66 : 1,284,376,884.93 = 513,027,375.12 : x - Step 2: Convert to fraction form
930,708,114.66/1,284,376,884.93 = 513,027,375.12/x - Step 3: Cross multiply
930,708,114.66x = 1,284,376,884.93 × 513,027,375.12 - Step 4: Simplify right side
930,708,114.66x = 658,920,501,940,440,192 - Step 5: Solve for x
x = 658,920,501,940,440,192/930,708,114.66 - Step 6: Final answer
x = 707,977,604.97
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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.