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Finding the Fourth Proportional to 206,821.60, 310,305.30 and 199,531.60

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Solution

The fourth proportional to 206,821.60, 310,305.30 and 199,531.60 is: 299,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821.60 : 310,305.30 = 199,531.60 : x
  2. Step 2: Convert to fraction form
    206,821.60/310,305.30 = 199,531.60/x
  3. Step 3: Cross multiply
    206,821.60x = 310,305.30 × 199,531.60
  4. Step 4: Simplify right side
    206,821.60x = 61,915,712,997.48
  5. Step 5: Solve for x
    x = 61,915,712,997.48/206,821.60
  6. Step 6: Final answer
    x = 299,367.73

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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.