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Finding the Fourth Proportional to 442,887.60, 664,331.40 and 206,691.60

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Solution

The fourth proportional to 442,887.60, 664,331.40 and 206,691.60 is: 310,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.60 : 664,331.40 = 206,691.60 : x
  2. Step 2: Convert to fraction form
    442,887.60/664,331.40 = 206,691.60/x
  3. Step 3: Cross multiply
    442,887.60x = 664,331.40 × 206,691.60
  4. Step 4: Simplify right side
    442,887.60x = 137,311,719,996.24
  5. Step 5: Solve for x
    x = 137,311,719,996.24/442,887.60
  6. Step 6: Final answer
    x = 310,037.40

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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.