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Finding the Fourth Proportional to 410,209.28, 615,311.15 and 220,758.78

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Solution

The fourth proportional to 410,209.28, 615,311.15 and 220,758.78 is: 331,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,209.28 : 615,311.15 = 220,758.78 : x
  2. Step 2: Convert to fraction form
    410,209.28/615,311.15 = 220,758.78/x
  3. Step 3: Cross multiply
    410,209.28x = 615,311.15 × 220,758.78
  4. Step 4: Simplify right side
    410,209.28x = 135,835,337,690.60
  5. Step 5: Solve for x
    x = 135,835,337,690.60/410,209.28
  6. Step 6: Final answer
    x = 331,136.68

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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.