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Finding the Fourth Proportional to 392,907.27, 542,277.26 and 231,801.91

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Solution

The fourth proportional to 392,907.27, 542,277.26 and 231,801.91 is: 319,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,907.27 : 542,277.26 = 231,801.91 : x
  2. Step 2: Convert to fraction form
    392,907.27/542,277.26 = 231,801.91/x
  3. Step 3: Cross multiply
    392,907.27x = 542,277.26 × 231,801.91
  4. Step 4: Simplify right side
    392,907.27x = 125,700,904,617.57
  5. Step 5: Solve for x
    x = 125,700,904,617.57/392,907.27
  6. Step 6: Final answer
    x = 319,925.12

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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.