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Finding the Fourth Proportional to 392,285.32, 588,369.66 and 142,909

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Solution

The fourth proportional to 392,285.32, 588,369.66 and 142,909 is: 214,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,285.32 : 588,369.66 = 142,909 : x
  2. Step 2: Convert to fraction form
    392,285.32/588,369.66 = 142,909/x
  3. Step 3: Cross multiply
    392,285.32x = 588,369.66 × 142,909
  4. Step 4: Simplify right side
    392,285.32x = 84,083,319,740.94
  5. Step 5: Solve for x
    x = 84,083,319,740.94/392,285.32
  6. Step 6: Final answer
    x = 214,342.25

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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.