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Finding the Fourth Proportional to 542,404.70, 812,829.45 and 399,131.90

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Solution

The fourth proportional to 542,404.70, 812,829.45 and 399,131.90 is: 598,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,404.70 : 812,829.45 = 399,131.90 : x
  2. Step 2: Convert to fraction form
    542,404.70/812,829.45 = 399,131.90/x
  3. Step 3: Cross multiply
    542,404.70x = 812,829.45 × 399,131.90
  4. Step 4: Simplify right side
    542,404.70x = 324,426,162,754.46
  5. Step 5: Solve for x
    x = 324,426,162,754.46/542,404.70
  6. Step 6: Final answer
    x = 598,125.65

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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.