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Finding the Fourth Proportional to 378,732.76, 522,649.22 and 206,650.68

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Solution

The fourth proportional to 378,732.76, 522,649.22 and 206,650.68 is: 285,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.76 : 522,649.22 = 206,650.68 : x
  2. Step 2: Convert to fraction form
    378,732.76/522,649.22 = 206,650.68/x
  3. Step 3: Cross multiply
    378,732.76x = 522,649.22 × 206,650.68
  4. Step 4: Simplify right side
    378,732.76x = 108,005,816,714.47
  5. Step 5: Solve for x
    x = 108,005,816,714.47/378,732.76
  6. Step 6: Final answer
    x = 285,176.85

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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.