Finding the Fourth Proportional to 508,471,315.80, 762,941,541.06 and 232,207,220.76
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Solution
The fourth proportional to 508,471,315.80, 762,941,541.06 and 232,207,220.76 is: 348,417,952.69
Step by Step Solution
- Step 1: Write the proportion equation
508,471,315.80 : 762,941,541.06 = 232,207,220.76 : x - Step 2: Convert to fraction form
508,471,315.80/762,941,541.06 = 232,207,220.76/x - Step 3: Cross multiply
508,471,315.80x = 762,941,541.06 × 232,207,220.76 - Step 4: Simplify right side
508,471,315.80x = 177,160,534,851,894,016 - Step 5: Solve for x
x = 177,160,534,851,894,016/508,471,315.80 - Step 6: Final answer
x = 348,417,952.69
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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.