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Finding the Fourth Proportional to 378,578.70, 567,745.13 and 125,791.31

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Solution

The fourth proportional to 378,578.70, 567,745.13 and 125,791.31 is: 188,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578.70 : 567,745.13 = 125,791.31 : x
  2. Step 2: Convert to fraction form
    378,578.70/567,745.13 = 125,791.31/x
  3. Step 3: Cross multiply
    378,578.70x = 567,745.13 × 125,791.31
  4. Step 4: Simplify right side
    378,578.70x = 71,417,405,382.66
  5. Step 5: Solve for x
    x = 71,417,405,382.66/378,578.70
  6. Step 6: Final answer
    x = 188,646.13

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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.