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Finding the Fourth Proportional to 281,194.60, 421,791.90 and 259,543.30

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Solution

The fourth proportional to 281,194.60, 421,791.90 and 259,543.30 is: 389,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,194.60 : 421,791.90 = 259,543.30 : x
  2. Step 2: Convert to fraction form
    281,194.60/421,791.90 = 259,543.30/x
  3. Step 3: Cross multiply
    281,194.60x = 421,791.90 × 259,543.30
  4. Step 4: Simplify right side
    281,194.60x = 109,473,261,639.27
  5. Step 5: Solve for x
    x = 109,473,261,639.27/281,194.60
  6. Step 6: Final answer
    x = 389,314.95

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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.