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Finding the Fourth Proportional to 322,757.65, 445,099.82 and 206,507.87

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Solution

The fourth proportional to 322,757.65, 445,099.82 and 206,507.87 is: 284,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,757.65 : 445,099.82 = 206,507.87 : x
  2. Step 2: Convert to fraction form
    322,757.65/445,099.82 = 206,507.87/x
  3. Step 3: Cross multiply
    322,757.65x = 445,099.82 × 206,507.87
  4. Step 4: Simplify right side
    322,757.65x = 91,916,615,765.58
  5. Step 5: Solve for x
    x = 91,916,615,765.58/322,757.65
  6. Step 6: Final answer
    x = 284,785.24

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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.