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Finding the Fourth Proportional to 322,963.56, 445,227.81 and 227,172.96

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Solution

The fourth proportional to 322,963.56, 445,227.81 and 227,172.96 is: 313,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,963.56 : 445,227.81 = 227,172.96 : x
  2. Step 2: Convert to fraction form
    322,963.56/445,227.81 = 227,172.96/x
  3. Step 3: Cross multiply
    322,963.56x = 445,227.81 × 227,172.96
  4. Step 4: Simplify right side
    322,963.56x = 101,143,719,472.02
  5. Step 5: Solve for x
    x = 101,143,719,472.02/322,963.56
  6. Step 6: Final answer
    x = 313,173.78

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1.5x scale

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.