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Finding the Fourth Proportional to 542,132.70, 812,421.45 and 398,859.90

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Solution

The fourth proportional to 542,132.70, 812,421.45 and 398,859.90 is: 597,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,132.70 : 812,421.45 = 398,859.90 : x
  2. Step 2: Convert to fraction form
    542,132.70/812,421.45 = 398,859.90/x
  3. Step 3: Cross multiply
    542,132.70x = 812,421.45 × 398,859.90
  4. Step 4: Simplify right side
    542,132.70x = 324,042,338,304.86
  5. Step 5: Solve for x
    x = 324,042,338,304.86/542,132.70
  6. Step 6: Final answer
    x = 597,717.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.