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Finding the Fourth Proportional to 392,761.32, 542,067.16 and 284,218.08

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Solution

The fourth proportional to 392,761.32, 542,067.16 and 284,218.08 is: 392,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,761.32 : 542,067.16 = 284,218.08 : x
  2. Step 2: Convert to fraction form
    392,761.32/542,067.16 = 284,218.08/x
  3. Step 3: Cross multiply
    392,761.32x = 542,067.16 × 284,218.08
  4. Step 4: Simplify right side
    392,761.32x = 154,065,287,446.25
  5. Step 5: Solve for x
    x = 154,065,287,446.25/392,761.32
  6. Step 6: Final answer
    x = 392,261.86

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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.