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Finding the Fourth Proportional to 322,983.72, 445,255.56 and 227,193.12

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Solution

The fourth proportional to 322,983.72, 445,255.56 and 227,193.12 is: 313,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,983.72 : 445,255.56 = 227,193.12 : x
  2. Step 2: Convert to fraction form
    322,983.72/445,255.56 = 227,193.12/x
  3. Step 3: Cross multiply
    322,983.72x = 445,255.56 × 227,193.12
  4. Step 4: Simplify right side
    322,983.72x = 101,158,999,873.75
  5. Step 5: Solve for x
    x = 101,158,999,873.75/322,983.72
  6. Step 6: Final answer
    x = 313,201.54

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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.