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Finding the Fourth Proportional to 402,123.78, 603,324.03 and 252,188.52

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Solution

The fourth proportional to 402,123.78, 603,324.03 and 252,188.52 is: 378,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,123.78 : 603,324.03 = 252,188.52 : x
  2. Step 2: Convert to fraction form
    402,123.78/603,324.03 = 252,188.52/x
  3. Step 3: Cross multiply
    402,123.78x = 603,324.03 × 252,188.52
  4. Step 4: Simplify right side
    402,123.78x = 152,151,394,206.14
  5. Step 5: Solve for x
    x = 152,151,394,206.14/402,123.78
  6. Step 6: Final answer
    x = 378,369.55

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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.