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Finding the Fourth Proportional to 261,520.82, 391,906.97 and 148,968.62

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Solution

The fourth proportional to 261,520.82, 391,906.97 and 148,968.62 is: 223,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,520.82 : 391,906.97 = 148,968.62 : x
  2. Step 2: Convert to fraction form
    261,520.82/391,906.97 = 148,968.62/x
  3. Step 3: Cross multiply
    261,520.82x = 391,906.97 × 148,968.62
  4. Step 4: Simplify right side
    261,520.82x = 58,381,839,744.44
  5. Step 5: Solve for x
    x = 58,381,839,744.44/261,520.82
  6. Step 6: Final answer
    x = 223,239.74

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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.