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Finding the Fourth Proportional to 410,217.30, 615,323.12 and 220,766.78

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Solution

The fourth proportional to 410,217.30, 615,323.12 and 220,766.78 is: 331,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,217.30 : 615,323.12 = 220,766.78 : x
  2. Step 2: Convert to fraction form
    410,217.30/615,323.12 = 220,766.78/x
  3. Step 3: Cross multiply
    410,217.30x = 615,323.12 × 220,766.78
  4. Step 4: Simplify right side
    410,217.30x = 135,842,903,861.95
  5. Step 5: Solve for x
    x = 135,842,903,861.95/410,217.30
  6. Step 6: Final answer
    x = 331,148.65

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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.