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Finding the Fourth Proportional to 813,800, 1,123,057.50 and 451,239.14

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Solution

The fourth proportional to 813,800, 1,123,057.50 and 451,239.14 is: 622,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,800 : 1,123,057.50 = 451,239.14 : x
  2. Step 2: Convert to fraction form
    813,800/1,123,057.50 = 451,239.14/x
  3. Step 3: Cross multiply
    813,800x = 1,123,057.50 × 451,239.14
  4. Step 4: Simplify right side
    813,800x = 506,767,500,470.55
  5. Step 5: Solve for x
    x = 506,767,500,470.55/813,800
  6. Step 6: Final answer
    x = 622,717.50

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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.