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Finding the Fourth Proportional to 410,216.30, 615,321.62 and 220,765.78

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Solution

The fourth proportional to 410,216.30, 615,321.62 and 220,765.78 is: 331,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.30 : 615,321.62 = 220,765.78 : x
  2. Step 2: Convert to fraction form
    410,216.30/615,321.62 = 220,765.78/x
  3. Step 3: Cross multiply
    410,216.30x = 615,321.62 × 220,765.78
  4. Step 4: Simplify right side
    410,216.30x = 135,841,957,390.16
  5. Step 5: Solve for x
    x = 135,841,957,390.16/410,216.30
  6. Step 6: Final answer
    x = 331,147.15

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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.