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Finding the Fourth Proportional to 410,516.45, 615,952.07 and 220,755.02

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Solution

The fourth proportional to 410,516.45, 615,952.07 and 220,755.02 is: 331,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,516.45 : 615,952.07 = 220,755.02 : x
  2. Step 2: Convert to fraction form
    410,516.45/615,952.07 = 220,755.02/x
  3. Step 3: Cross multiply
    410,516.45x = 615,952.07 × 220,755.02
  4. Step 4: Simplify right side
    410,516.45x = 135,974,507,348.36
  5. Step 5: Solve for x
    x = 135,974,507,348.36/410,516.45
  6. Step 6: Final answer
    x = 331,227.92

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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.