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Finding the Fourth Proportional to 410,515.95, 615,951.32 and 220,754.52

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Solution

The fourth proportional to 410,515.95, 615,951.32 and 220,754.52 is: 331,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,515.95 : 615,951.32 = 220,754.52 : x
  2. Step 2: Convert to fraction form
    410,515.95/615,951.32 = 220,754.52/x
  3. Step 3: Cross multiply
    410,515.95x = 615,951.32 × 220,754.52
  4. Step 4: Simplify right side
    410,515.95x = 135,974,037,989.97
  5. Step 5: Solve for x
    x = 135,974,037,989.97/410,515.95
  6. Step 6: Final answer
    x = 331,227.17

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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.