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Finding the Fourth Proportional to 378,785.85, 522,721.19 and 206,707.22

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Solution

The fourth proportional to 378,785.85, 522,721.19 and 206,707.22 is: 285,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,785.85 : 522,721.19 = 206,707.22 : x
  2. Step 2: Convert to fraction form
    378,785.85/522,721.19 = 206,707.22/x
  3. Step 3: Cross multiply
    378,785.85x = 522,721.19 × 206,707.22
  4. Step 4: Simplify right side
    378,785.85x = 108,050,245,843.56
  5. Step 5: Solve for x
    x = 108,050,245,843.56/378,785.85
  6. Step 6: Final answer
    x = 285,254.18

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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.