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Finding the Fourth Proportional to 392,910.78, 542,282.10 and 231,805.41

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Solution

The fourth proportional to 392,910.78, 542,282.10 and 231,805.41 is: 319,929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,910.78 : 542,282.10 = 231,805.41 : x
  2. Step 2: Convert to fraction form
    392,910.78/542,282.10 = 231,805.41/x
  3. Step 3: Cross multiply
    392,910.78x = 542,282.10 × 231,805.41
  4. Step 4: Simplify right side
    392,910.78x = 125,703,924,526.16
  5. Step 5: Solve for x
    x = 125,703,924,526.16/392,910.78
  6. Step 6: Final answer
    x = 319,929.95

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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.