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Finding the Fourth Proportional to 378,980.28, 522,984.32 and 206,891.57

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Solution

The fourth proportional to 378,980.28, 522,984.32 and 206,891.57 is: 285,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,980.28 : 522,984.32 = 206,891.57 : x
  2. Step 2: Convert to fraction form
    378,980.28/522,984.32 = 206,891.57/x
  3. Step 3: Cross multiply
    378,980.28x = 522,984.32 × 206,891.57
  4. Step 4: Simplify right side
    378,980.28x = 108,201,044,429.89
  5. Step 5: Solve for x
    x = 108,201,044,429.89/378,980.28
  6. Step 6: Final answer
    x = 285,505.74

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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.