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Finding the Fourth Proportional to 381,170, 571,755 and 261,108.56

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Solution

The fourth proportional to 381,170, 571,755 and 261,108.56 is: 391,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,170 : 571,755 = 261,108.56 : x
  2. Step 2: Convert to fraction form
    381,170/571,755 = 261,108.56/x
  3. Step 3: Cross multiply
    381,170x = 571,755 × 261,108.56
  4. Step 4: Simplify right side
    381,170x = 149,290,124,722.80
  5. Step 5: Solve for x
    x = 149,290,124,722.80/381,170
  6. Step 6: Final answer
    x = 391,662.84

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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.