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Finding the Fourth Proportional to 378,863.27, 522,832.41 and 206,782.81

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Solution

The fourth proportional to 378,863.27, 522,832.41 and 206,782.81 is: 285,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,863.27 : 522,832.41 = 206,782.81 : x
  2. Step 2: Convert to fraction form
    378,863.27/522,832.41 = 206,782.81/x
  3. Step 3: Cross multiply
    378,863.27x = 522,832.41 × 206,782.81
  4. Step 4: Simplify right side
    378,863.27x = 108,112,753,864.96
  5. Step 5: Solve for x
    x = 108,112,753,864.96/378,863.27
  6. Step 6: Final answer
    x = 285,360.87

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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.