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Finding the Fourth Proportional to 409,414.34, 614,121.50 and 159,921.38

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Solution

The fourth proportional to 409,414.34, 614,121.50 and 159,921.38 is: 239,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.34 : 614,121.50 = 159,921.38 : x
  2. Step 2: Convert to fraction form
    409,414.34/614,121.50 = 159,921.38/x
  3. Step 3: Cross multiply
    409,414.34x = 614,121.50 × 159,921.38
  4. Step 4: Simplify right side
    409,414.34x = 98,211,155,096.87
  5. Step 5: Solve for x
    x = 98,211,155,096.87/409,414.34
  6. Step 6: Final answer
    x = 239,882.06

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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.