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Finding the Fourth Proportional to 378,437.94, 567,518.40 and 125,672.58

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Solution

The fourth proportional to 378,437.94, 567,518.40 and 125,672.58 is: 188,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,437.94 : 567,518.40 = 125,672.58 : x
  2. Step 2: Convert to fraction form
    378,437.94/567,518.40 = 125,672.58/x
  3. Step 3: Cross multiply
    378,437.94x = 567,518.40 × 125,672.58
  4. Step 4: Simplify right side
    378,437.94x = 71,321,501,525.47
  5. Step 5: Solve for x
    x = 71,321,501,525.47/378,437.94
  6. Step 6: Final answer
    x = 188,462.87

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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.