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Finding the Fourth Proportional to 378,295.26, 522,039.66 and 206,211.78

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Solution

The fourth proportional to 378,295.26, 522,039.66 and 206,211.78 is: 284,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,295.26 : 522,039.66 = 206,211.78 : x
  2. Step 2: Convert to fraction form
    378,295.26/522,039.66 = 206,211.78/x
  3. Step 3: Cross multiply
    378,295.26x = 522,039.66 × 206,211.78
  4. Step 4: Simplify right side
    378,295.26x = 107,650,727,519.20
  5. Step 5: Solve for x
    x = 107,650,727,519.20/378,295.26
  6. Step 6: Final answer
    x = 284,568.01

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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.