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Finding the Fourth Proportional to 327,424.72, 451,805.68 and 206,520.36

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Solution

The fourth proportional to 327,424.72, 451,805.68 and 206,520.36 is: 284,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,424.72 : 451,805.68 = 206,520.36 : x
  2. Step 2: Convert to fraction form
    327,424.72/451,805.68 = 206,520.36/x
  3. Step 3: Cross multiply
    327,424.72x = 451,805.68 × 206,520.36
  4. Step 4: Simplify right side
    327,424.72x = 93,307,071,683.64
  5. Step 5: Solve for x
    x = 93,307,071,683.64/327,424.72
  6. Step 6: Final answer
    x = 284,972.59

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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.