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Finding the Fourth Proportional to 410,061.70, 615,092.55 and 129,664.90

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Solution

The fourth proportional to 410,061.70, 615,092.55 and 129,664.90 is: 194,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.70 : 615,092.55 = 129,664.90 : x
  2. Step 2: Convert to fraction form
    410,061.70/615,092.55 = 129,664.90/x
  3. Step 3: Cross multiply
    410,061.70x = 615,092.55 × 129,664.90
  4. Step 4: Simplify right side
    410,061.70x = 79,755,913,986.50
  5. Step 5: Solve for x
    x = 79,755,913,986.50/410,061.70
  6. Step 6: Final answer
    x = 194,497.35

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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.