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Finding the Fourth Proportional to 378,079.75, 567,202.67 and 111,819.51

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Solution

The fourth proportional to 378,079.75, 567,202.67 and 111,819.51 is: 167,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,079.75 : 567,202.67 = 111,819.51 : x
  2. Step 2: Convert to fraction form
    378,079.75/567,202.67 = 111,819.51/x
  3. Step 3: Cross multiply
    378,079.75x = 567,202.67 × 111,819.51
  4. Step 4: Simplify right side
    378,079.75x = 63,424,324,630.09
  5. Step 5: Solve for x
    x = 63,424,324,630.09/378,079.75
  6. Step 6: Final answer
    x = 167,753.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.