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Finding the Fourth Proportional to 274,393.20, 378,721.44 and 166,997.82

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Solution

The fourth proportional to 274,393.20, 378,721.44 and 166,997.82 is: 230,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,393.20 : 378,721.44 = 166,997.82 : x
  2. Step 2: Convert to fraction form
    274,393.20/378,721.44 = 166,997.82/x
  3. Step 3: Cross multiply
    274,393.20x = 378,721.44 × 166,997.82
  4. Step 4: Simplify right side
    274,393.20x = 63,245,654,867.26
  5. Step 5: Solve for x
    x = 63,245,654,867.26/274,393.20
  6. Step 6: Final answer
    x = 230,492.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.