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Finding the Fourth Proportional to 275,309.92, 412,960.02 and 75,629.52

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Solution

The fourth proportional to 275,309.92, 412,960.02 and 75,629.52 is: 113,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,309.92 : 412,960.02 = 75,629.52 : x
  2. Step 2: Convert to fraction form
    275,309.92/412,960.02 = 75,629.52/x
  3. Step 3: Cross multiply
    275,309.92x = 412,960.02 × 75,629.52
  4. Step 4: Simplify right side
    275,309.92x = 31,231,968,091.79
  5. Step 5: Solve for x
    x = 31,231,968,091.79/275,309.92
  6. Step 6: Final answer
    x = 113,442.94

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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.