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Finding the Fourth Proportional to 392,912.78, 542,284.86 and 231,807.41

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Solution

The fourth proportional to 392,912.78, 542,284.86 and 231,807.41 is: 319,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,912.78 : 542,284.86 = 231,807.41 : x
  2. Step 2: Convert to fraction form
    392,912.78/542,284.86 = 231,807.41/x
  3. Step 3: Cross multiply
    392,912.78x = 542,284.86 × 231,807.41
  4. Step 4: Simplify right side
    392,912.78x = 125,705,648,878.81
  5. Step 5: Solve for x
    x = 125,705,648,878.81/392,912.78
  6. Step 6: Final answer
    x = 319,932.71

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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.