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Finding the Fourth Proportional to 726,134.36, 1,002,138.90 and 416,078

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Solution

The fourth proportional to 726,134.36, 1,002,138.90 and 416,078 is: 574,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,134.36 : 1,002,138.90 = 416,078 : x
  2. Step 2: Convert to fraction form
    726,134.36/1,002,138.90 = 416,078/x
  3. Step 3: Cross multiply
    726,134.36x = 1,002,138.90 × 416,078
  4. Step 4: Simplify right side
    726,134.36x = 416,967,949,234.20
  5. Step 5: Solve for x
    x = 416,967,949,234.20/726,134.36
  6. Step 6: Final answer
    x = 574,229.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.