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Finding the Fourth Proportional to 378,859.18, 522,818.25 and 206,778.38

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Solution

The fourth proportional to 378,859.18, 522,818.25 and 206,778.38 is: 285,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,859.18 : 522,818.25 = 206,778.38 : x
  2. Step 2: Convert to fraction form
    378,859.18/522,818.25 = 206,778.38/x
  3. Step 3: Cross multiply
    378,859.18x = 522,818.25 × 206,778.38
  4. Step 4: Simplify right side
    378,859.18x = 108,107,508,155.34
  5. Step 5: Solve for x
    x = 108,107,508,155.34/378,859.18
  6. Step 6: Final answer
    x = 285,350.11

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1.5x scale

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.