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Finding the Fourth Proportional to 411,229.74, 615,138.72 and 386,035.50

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Solution

The fourth proportional to 411,229.74, 615,138.72 and 386,035.50 is: 577,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,229.74 : 615,138.72 = 386,035.50 : x
  2. Step 2: Convert to fraction form
    411,229.74/615,138.72 = 386,035.50/x
  3. Step 3: Cross multiply
    411,229.74x = 615,138.72 × 386,035.50
  4. Step 4: Simplify right side
    411,229.74x = 237,465,383,344.56
  5. Step 5: Solve for x
    x = 237,465,383,344.56/411,229.74
  6. Step 6: Final answer
    x = 577,451.87

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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.