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Finding the Fourth Proportional to 378,221.87, 567,374.32 and 188,729.93

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Solution

The fourth proportional to 378,221.87, 567,374.32 and 188,729.93 is: 283,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,221.87 : 567,374.32 = 188,729.93 : x
  2. Step 2: Convert to fraction form
    378,221.87/567,374.32 = 188,729.93/x
  3. Step 3: Cross multiply
    378,221.87x = 567,374.32 × 188,729.93
  4. Step 4: Simplify right side
    378,221.87x = 107,080,515,697.40
  5. Step 5: Solve for x
    x = 107,080,515,697.40/378,221.87
  6. Step 6: Final answer
    x = 283,115.61

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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.