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Finding the Fourth Proportional to 392,781.95, 542,062.31 and 295,814.76

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Solution

The fourth proportional to 392,781.95, 542,062.31 and 295,814.76 is: 408,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,781.95 : 542,062.31 = 295,814.76 : x
  2. Step 2: Convert to fraction form
    392,781.95/542,062.31 = 295,814.76/x
  3. Step 3: Cross multiply
    392,781.95x = 542,062.31 × 295,814.76
  4. Step 4: Simplify right side
    392,781.95x = 160,350,030,658.62
  5. Step 5: Solve for x
    x = 160,350,030,658.62/392,781.95
  6. Step 6: Final answer
    x = 408,241.86

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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.