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Finding the Fourth Proportional to 260,952.30, 391,551.92 and 142,620.11

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Solution

The fourth proportional to 260,952.30, 391,551.92 and 142,620.11 is: 213,997.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,952.30 : 391,551.92 = 142,620.11 : x
  2. Step 2: Convert to fraction form
    260,952.30/391,551.92 = 142,620.11/x
  3. Step 3: Cross multiply
    260,952.30x = 391,551.92 × 142,620.11
  4. Step 4: Simplify right side
    260,952.30x = 55,843,175,230.25
  5. Step 5: Solve for x
    x = 55,843,175,230.25/260,952.30
  6. Step 6: Final answer
    x = 213,997.64

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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.