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Finding the Fourth Proportional to 378,859, 522,826.54 and 206,778.55

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Solution

The fourth proportional to 378,859, 522,826.54 and 206,778.55 is: 285,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,859 : 522,826.54 = 206,778.55 : x
  2. Step 2: Convert to fraction form
    378,859/522,826.54 = 206,778.55/x
  3. Step 3: Cross multiply
    378,859x = 522,826.54 × 206,778.55
  4. Step 4: Simplify right side
    378,859x = 108,109,313,842.72
  5. Step 5: Solve for x
    x = 108,109,313,842.72/378,859
  6. Step 6: Final answer
    x = 285,355.01

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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.