Finding the Fourth Proportional to 1,542,940,108.92, 2,129,433,981.80 and 864,940,179.84
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Solution
The fourth proportional to 1,542,940,108.92, 2,129,433,981.80 and 864,940,179.84 is: 1,193,716,464.12
Step by Step Solution
- Step 1: Write the proportion equation
1,542,940,108.92 : 2,129,433,981.80 = 864,940,179.84 : x - Step 2: Convert to fraction form
1,542,940,108.92/2,129,433,981.80 = 864,940,179.84/x - Step 3: Cross multiply
1,542,940,108.92x = 2,129,433,981.80 × 864,940,179.84 - Step 4: Simplify right side
1,542,940,108.92x = 1,841,833,011,175,499,264 - Step 5: Solve for x
x = 1,841,833,011,175,499,264/1,542,940,108.92 - Step 6: Final answer
x = 1,193,716,464.12
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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.