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Finding the Fourth Proportional to 521,984.26, 720,304.17 and 307,082.80

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Solution

The fourth proportional to 521,984.26, 720,304.17 and 307,082.80 is: 423,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,984.26 : 720,304.17 = 307,082.80 : x
  2. Step 2: Convert to fraction form
    521,984.26/720,304.17 = 307,082.80/x
  3. Step 3: Cross multiply
    521,984.26x = 720,304.17 × 307,082.80
  4. Step 4: Simplify right side
    521,984.26x = 221,193,021,375.28
  5. Step 5: Solve for x
    x = 221,193,021,375.28/521,984.26
  6. Step 6: Final answer
    x = 423,754.20

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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.