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Finding the Fourth Proportional to 399,640.56, 599,446.95 and 100,123.68

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Solution

The fourth proportional to 399,640.56, 599,446.95 and 100,123.68 is: 150,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,640.56 : 599,446.95 = 100,123.68 : x
  2. Step 2: Convert to fraction form
    399,640.56/599,446.95 = 100,123.68/x
  3. Step 3: Cross multiply
    399,640.56x = 599,446.95 × 100,123.68
  4. Step 4: Simplify right side
    399,640.56x = 60,018,834,598.78
  5. Step 5: Solve for x
    x = 60,018,834,598.78/399,640.56
  6. Step 6: Final answer
    x = 150,182.04

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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.