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Finding the Fourth Proportional to 276,115.30, 414,172.95 and 271,449.70

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Solution

The fourth proportional to 276,115.30, 414,172.95 and 271,449.70 is: 407,174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,115.30 : 414,172.95 = 271,449.70 : x
  2. Step 2: Convert to fraction form
    276,115.30/414,172.95 = 271,449.70/x
  3. Step 3: Cross multiply
    276,115.30x = 414,172.95 × 271,449.70
  4. Step 4: Simplify right side
    276,115.30x = 112,427,123,025.62
  5. Step 5: Solve for x
    x = 112,427,123,025.62/276,115.30
  6. Step 6: Final answer
    x = 407,174.55

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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.