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Finding the Fourth Proportional to 417,395.36, 625,961.64 and 136,847

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Solution

The fourth proportional to 417,395.36, 625,961.64 and 136,847 is: 205,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,395.36 : 625,961.64 = 136,847 : x
  2. Step 2: Convert to fraction form
    417,395.36/625,961.64 = 136,847/x
  3. Step 3: Cross multiply
    417,395.36x = 625,961.64 × 136,847
  4. Step 4: Simplify right side
    417,395.36x = 85,660,972,549.08
  5. Step 5: Solve for x
    x = 85,660,972,549.08/417,395.36
  6. Step 6: Final answer
    x = 205,227.42

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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.