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Finding the Fourth Proportional to 378,635.67, 522,518.72 and 206,557.30

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Solution

The fourth proportional to 378,635.67, 522,518.72 and 206,557.30 is: 285,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,635.67 : 522,518.72 = 206,557.30 : x
  2. Step 2: Convert to fraction form
    378,635.67/522,518.72 = 206,557.30/x
  3. Step 3: Cross multiply
    378,635.67x = 522,518.72 × 206,557.30
  4. Step 4: Simplify right side
    378,635.67x = 107,930,056,002.66
  5. Step 5: Solve for x
    x = 107,930,056,002.66/378,635.67
  6. Step 6: Final answer
    x = 285,049.89

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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.