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Finding the Fourth Proportional to 274,190.88, 378,388.44 and 166,765.44

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Solution

The fourth proportional to 274,190.88, 378,388.44 and 166,765.44 is: 230,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,190.88 : 378,388.44 = 166,765.44 : x
  2. Step 2: Convert to fraction form
    274,190.88/378,388.44 = 166,765.44/x
  3. Step 3: Cross multiply
    274,190.88x = 378,388.44 × 166,765.44
  4. Step 4: Simplify right side
    274,190.88x = 63,102,114,687.51
  5. Step 5: Solve for x
    x = 63,102,114,687.51/274,190.88
  6. Step 6: Final answer
    x = 230,139.36

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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.