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Finding the Fourth Proportional to 486,993.20, 730,548.12 and 206,474

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Solution

The fourth proportional to 486,993.20, 730,548.12 and 206,474 is: 309,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,993.20 : 730,548.12 = 206,474 : x
  2. Step 2: Convert to fraction form
    486,993.20/730,548.12 = 206,474/x
  3. Step 3: Cross multiply
    486,993.20x = 730,548.12 × 206,474
  4. Step 4: Simplify right side
    486,993.20x = 150,839,192,528.88
  5. Step 5: Solve for x
    x = 150,839,192,528.88/486,993.20
  6. Step 6: Final answer
    x = 309,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.