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Finding the Fourth Proportional to 381,191.22, 571,065.11 and 254,449.30

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Solution

The fourth proportional to 381,191.22, 571,065.11 and 254,449.30 is: 381,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,191.22 : 571,065.11 = 254,449.30 : x
  2. Step 2: Convert to fraction form
    381,191.22/571,065.11 = 254,449.30/x
  3. Step 3: Cross multiply
    381,191.22x = 571,065.11 × 254,449.30
  4. Step 4: Simplify right side
    381,191.22x = 145,307,117,493.92
  5. Step 5: Solve for x
    x = 145,307,117,493.92/381,191.22
  6. Step 6: Final answer
    x = 381,192.19

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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.