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Finding the Fourth Proportional to 442,887.55, 663,332.53 and 205,731.16

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Solution

The fourth proportional to 442,887.55, 663,332.53 and 205,731.16 is: 308,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.55 : 663,332.53 = 205,731.16 : x
  2. Step 2: Convert to fraction form
    442,887.55/663,332.53 = 205,731.16/x
  3. Step 3: Cross multiply
    442,887.55x = 663,332.53 × 205,731.16
  4. Step 4: Simplify right side
    442,887.55x = 136,468,171,177.47
  5. Step 5: Solve for x
    x = 136,468,171,177.47/442,887.55
  6. Step 6: Final answer
    x = 308,132.78

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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.