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Finding the Fourth Proportional to 409,806.60, 615,098.70 and 252,342.60

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Solution

The fourth proportional to 409,806.60, 615,098.70 and 252,342.60 is: 378,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,806.60 : 615,098.70 = 252,342.60 : x
  2. Step 2: Convert to fraction form
    409,806.60/615,098.70 = 252,342.60/x
  3. Step 3: Cross multiply
    409,806.60x = 615,098.70 × 252,342.60
  4. Step 4: Simplify right side
    409,806.60x = 155,215,605,214.62
  5. Step 5: Solve for x
    x = 155,215,605,214.62/409,806.60
  6. Step 6: Final answer
    x = 378,753.31

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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.