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Finding the Fourth Proportional to 206,980.30, 285,498.03 and 169,194.70

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Solution

The fourth proportional to 206,980.30, 285,498.03 and 169,194.70 is: 233,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,980.30 : 285,498.03 = 169,194.70 : x
  2. Step 2: Convert to fraction form
    206,980.30/285,498.03 = 169,194.70/x
  3. Step 3: Cross multiply
    206,980.30x = 285,498.03 × 169,194.70
  4. Step 4: Simplify right side
    206,980.30x = 48,304,753,536.44
  5. Step 5: Solve for x
    x = 48,304,753,536.44/206,980.30
  6. Step 6: Final answer
    x = 233,378.51

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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.