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Finding the Fourth Proportional to 408,614.76, 613,432.44 and 276,082.56

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Solution

The fourth proportional to 408,614.76, 613,432.44 and 276,082.56 is: 414,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,614.76 : 613,432.44 = 276,082.56 : x
  2. Step 2: Convert to fraction form
    408,614.76/613,432.44 = 276,082.56/x
  3. Step 3: Cross multiply
    408,614.76x = 613,432.44 × 276,082.56
  4. Step 4: Simplify right side
    408,614.76x = 169,357,998,422.25
  5. Step 5: Solve for x
    x = 169,357,998,422.25/408,614.76
  6. Step 6: Final answer
    x = 414,468.63

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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.