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Finding the Fourth Proportional to 409,996.92, 615,084.48 and 125,688.54

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Solution

The fourth proportional to 409,996.92, 615,084.48 and 125,688.54 is: 188,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,996.92 : 615,084.48 = 125,688.54 : x
  2. Step 2: Convert to fraction form
    409,996.92/615,084.48 = 125,688.54/x
  3. Step 3: Cross multiply
    409,996.92x = 615,084.48 × 125,688.54
  4. Step 4: Simplify right side
    409,996.92x = 77,309,070,267.86
  5. Step 5: Solve for x
    x = 77,309,070,267.86/409,996.92
  6. Step 6: Final answer
    x = 188,560.12

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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.