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Finding the Fourth Proportional to 274,791.24, 412,245.64 and 85,247.49

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Solution

The fourth proportional to 274,791.24, 412,245.64 and 85,247.49 is: 127,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,791.24 : 412,245.64 = 85,247.49 : x
  2. Step 2: Convert to fraction form
    274,791.24/412,245.64 = 85,247.49/x
  3. Step 3: Cross multiply
    274,791.24x = 412,245.64 × 85,247.49
  4. Step 4: Simplify right side
    274,791.24x = 35,142,906,073.44
  5. Step 5: Solve for x
    x = 35,142,906,073.44/274,791.24
  6. Step 6: Final answer
    x = 127,889.47

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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.