Finding the Fourth Proportional to 409,451,676.30, 614,177,514.45 and 133,102,356.30
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Solution
The fourth proportional to 409,451,676.30, 614,177,514.45 and 133,102,356.30 is: 199,653,534.45
Step by Step Solution
- Step 1: Write the proportion equation
409,451,676.30 : 614,177,514.45 = 133,102,356.30 : x - Step 2: Convert to fraction form
409,451,676.30/614,177,514.45 = 133,102,356.30/x - Step 3: Cross multiply
409,451,676.30x = 614,177,514.45 × 133,102,356.30 - Step 4: Simplify right side
409,451,676.30x = 81,748,474,359,772,304 - Step 5: Solve for x
x = 81,748,474,359,772,304/409,451,676.30 - Step 6: Final answer
x = 199,653,534.45
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1.5x scale
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.