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Finding the Fourth Proportional to 392,905.52, 542,274.84 and 231,800.16

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Solution

The fourth proportional to 392,905.52, 542,274.84 and 231,800.16 is: 319,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,905.52 : 542,274.84 = 231,800.16 : x
  2. Step 2: Convert to fraction form
    392,905.52/542,274.84 = 231,800.16/x
  3. Step 3: Cross multiply
    392,905.52x = 542,274.84 × 231,800.16
  4. Step 4: Simplify right side
    392,905.52x = 125,699,394,675.97
  5. Step 5: Solve for x
    x = 125,699,394,675.97/392,905.52
  6. Step 6: Final answer
    x = 319,922.70

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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.