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Finding the Fourth Proportional to 410,024.76, 615,033.48 and 129,542

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Solution

The fourth proportional to 410,024.76, 615,033.48 and 129,542 is: 194,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,024.76 : 615,033.48 = 129,542 : x
  2. Step 2: Convert to fraction form
    410,024.76/615,033.48 = 129,542/x
  3. Step 3: Cross multiply
    410,024.76x = 615,033.48 × 129,542
  4. Step 4: Simplify right side
    410,024.76x = 79,672,667,066.16
  5. Step 5: Solve for x
    x = 79,672,667,066.16/410,024.76
  6. Step 6: Final answer
    x = 194,311.84

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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.