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Finding the Fourth Proportional to 392,780.62, 542,013.15 and 231,642.46

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Solution

The fourth proportional to 392,780.62, 542,013.15 and 231,642.46 is: 319,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,780.62 : 542,013.15 = 231,642.46 : x
  2. Step 2: Convert to fraction form
    392,780.62/542,013.15 = 231,642.46/x
  3. Step 3: Cross multiply
    392,780.62x = 542,013.15 × 231,642.46
  4. Step 4: Simplify right side
    392,780.62x = 125,553,259,418.35
  5. Step 5: Solve for x
    x = 125,553,259,418.35/392,780.62
  6. Step 6: Final answer
    x = 319,652.38

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1.5x scale

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.