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Finding the Fourth Proportional to 399,082.10, 550,744.97 and 217,805.64

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Solution

The fourth proportional to 399,082.10, 550,744.97 and 217,805.64 is: 300,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,082.10 : 550,744.97 = 217,805.64 : x
  2. Step 2: Convert to fraction form
    399,082.10/550,744.97 = 217,805.64/x
  3. Step 3: Cross multiply
    399,082.10x = 550,744.97 × 217,805.64
  4. Step 4: Simplify right side
    399,082.10x = 119,955,359,578.60
  5. Step 5: Solve for x
    x = 119,955,359,578.60/399,082.10
  6. Step 6: Final answer
    x = 300,578.15

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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.