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Finding the Fourth Proportional to 392,940.88, 542,323.96 and 231,835.92

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Solution

The fourth proportional to 392,940.88, 542,323.96 and 231,835.92 is: 319,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,940.88 : 542,323.96 = 231,835.92 : x
  2. Step 2: Convert to fraction form
    392,940.88/542,323.96 = 231,835.92/x
  3. Step 3: Cross multiply
    392,940.88x = 542,323.96 × 231,835.92
  4. Step 4: Simplify right side
    392,940.88x = 125,730,174,204.64
  5. Step 5: Solve for x
    x = 125,730,174,204.64/392,940.88
  6. Step 6: Final answer
    x = 319,972.24

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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.