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Finding the Fourth Proportional to 254,891.67, 381,812.49 and 149,456.40

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Solution

The fourth proportional to 254,891.67, 381,812.49 and 149,456.40 is: 223,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,891.67 : 381,812.49 = 149,456.40 : x
  2. Step 2: Convert to fraction form
    254,891.67/381,812.49 = 149,456.40/x
  3. Step 3: Cross multiply
    254,891.67x = 381,812.49 × 149,456.40
  4. Step 4: Simplify right side
    254,891.67x = 57,064,320,230.44
  5. Step 5: Solve for x
    x = 57,064,320,230.44/254,891.67
  6. Step 6: Final answer
    x = 223,876.76

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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.