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Finding the Fourth Proportional to 274,789.82, 412,243.86 and 85,246.38

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Solution

The fourth proportional to 274,789.82, 412,243.86 and 85,246.38 is: 127,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,789.82 : 412,243.86 = 85,246.38 : x
  2. Step 2: Convert to fraction form
    274,789.82/412,243.86 = 85,246.38/x
  3. Step 3: Cross multiply
    274,789.82x = 412,243.86 × 85,246.38
  4. Step 4: Simplify right side
    274,789.82x = 35,142,296,742.23
  5. Step 5: Solve for x
    x = 35,142,296,742.23/274,789.82
  6. Step 6: Final answer
    x = 127,887.92

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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.