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Finding the Fourth Proportional to 327,172, 451,312.56 and 206,105.44

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Solution

The fourth proportional to 327,172, 451,312.56 and 206,105.44 is: 284,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,172 : 451,312.56 = 206,105.44 : x
  2. Step 2: Convert to fraction form
    327,172/451,312.56 = 206,105.44/x
  3. Step 3: Cross multiply
    327,172x = 451,312.56 × 206,105.44
  4. Step 4: Simplify right side
    327,172x = 93,017,973,756.33
  5. Step 5: Solve for x
    x = 93,017,973,756.33/327,172
  6. Step 6: Final answer
    x = 284,309.09

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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.