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Finding the Fourth Proportional to 378,137.58, 567,294.60 and 125,399.58

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Solution

The fourth proportional to 378,137.58, 567,294.60 and 125,399.58 is: 188,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.58 : 567,294.60 = 125,399.58 : x
  2. Step 2: Convert to fraction form
    378,137.58/567,294.60 = 125,399.58/x
  3. Step 3: Cross multiply
    378,137.58x = 567,294.60 × 125,399.58
  4. Step 4: Simplify right side
    378,137.58x = 71,138,504,576.27
  5. Step 5: Solve for x
    x = 71,138,504,576.27/378,137.58
  6. Step 6: Final answer
    x = 188,128.63

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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.