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Finding the Fourth Proportional to 378,229.96, 521,960.98 and 208,470.60

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Solution

The fourth proportional to 378,229.96, 521,960.98 and 208,470.60 is: 287,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,229.96 : 521,960.98 = 208,470.60 : x
  2. Step 2: Convert to fraction form
    378,229.96/521,960.98 = 208,470.60/x
  3. Step 3: Cross multiply
    378,229.96x = 521,960.98 × 208,470.60
  4. Step 4: Simplify right side
    378,229.96x = 108,813,518,677.19
  5. Step 5: Solve for x
    x = 108,813,518,677.19/378,229.96
  6. Step 6: Final answer
    x = 287,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.