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Finding the Fourth Proportional to 408,744.03, 612,937.30 and 206,215.53

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Solution

The fourth proportional to 408,744.03, 612,937.30 and 206,215.53 is: 309,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,744.03 : 612,937.30 = 206,215.53 : x
  2. Step 2: Convert to fraction form
    408,744.03/612,937.30 = 206,215.53/x
  3. Step 3: Cross multiply
    408,744.03x = 612,937.30 × 206,215.53
  4. Step 4: Simplify right side
    408,744.03x = 126,397,190,176.27
  5. Step 5: Solve for x
    x = 126,397,190,176.27/408,744.03
  6. Step 6: Final answer
    x = 309,233.12

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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.