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Finding the Fourth Proportional to 378,808.43, 522,758.67 and 206,727.74

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Solution

The fourth proportional to 378,808.43, 522,758.67 and 206,727.74 is: 285,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,808.43 : 522,758.67 = 206,727.74 : x
  2. Step 2: Convert to fraction form
    378,808.43/522,758.67 = 206,727.74/x
  3. Step 3: Cross multiply
    378,808.43x = 522,758.67 × 206,727.74
  4. Step 4: Simplify right side
    378,808.43x = 108,068,715,800.71
  5. Step 5: Solve for x
    x = 108,068,715,800.71/378,808.43
  6. Step 6: Final answer
    x = 285,285.94

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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.