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Finding the Fourth Proportional to 378,809.24, 567,814.42 and 126,022.20

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Solution

The fourth proportional to 378,809.24, 567,814.42 and 126,022.20 is: 188,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,809.24 : 567,814.42 = 126,022.20 : x
  2. Step 2: Convert to fraction form
    378,809.24/567,814.42 = 126,022.20/x
  3. Step 3: Cross multiply
    378,809.24x = 567,814.42 × 126,022.20
  4. Step 4: Simplify right side
    378,809.24x = 71,557,222,400.12
  5. Step 5: Solve for x
    x = 71,557,222,400.12/378,809.24
  6. Step 6: Final answer
    x = 188,900.41

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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.