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Finding the Fourth Proportional to 409,414.59, 614,121.88 and 159,921.63

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Solution

The fourth proportional to 409,414.59, 614,121.88 and 159,921.63 is: 239,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.59 : 614,121.88 = 159,921.63 : x
  2. Step 2: Convert to fraction form
    409,414.59/614,121.88 = 159,921.63/x
  3. Step 3: Cross multiply
    409,414.59x = 614,121.88 × 159,921.63
  4. Step 4: Simplify right side
    409,414.59x = 98,211,368,597.85
  5. Step 5: Solve for x
    x = 98,211,368,597.85/409,414.59
  6. Step 6: Final answer
    x = 239,882.44

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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.