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Finding the Fourth Proportional to 542,108.70, 812,385.45 and 398,835.90

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Solution

The fourth proportional to 542,108.70, 812,385.45 and 398,835.90 is: 597,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,108.70 : 812,385.45 = 398,835.90 : x
  2. Step 2: Convert to fraction form
    542,108.70/812,385.45 = 398,835.90/x
  3. Step 3: Cross multiply
    542,108.70x = 812,385.45 × 398,835.90
  4. Step 4: Simplify right side
    542,108.70x = 324,008,482,097.66
  5. Step 5: Solve for x
    x = 324,008,482,097.66/542,108.70
  6. Step 6: Final answer
    x = 597,681.76

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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.