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Finding the Fourth Proportional to 381,193.58, 571,843.22 and 128,546.48

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Solution

The fourth proportional to 381,193.58, 571,843.22 and 128,546.48 is: 192,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,193.58 : 571,843.22 = 128,546.48 : x
  2. Step 2: Convert to fraction form
    381,193.58/571,843.22 = 128,546.48/x
  3. Step 3: Cross multiply
    381,193.58x = 571,843.22 × 128,546.48
  4. Step 4: Simplify right side
    381,193.58x = 73,508,429,540.92
  5. Step 5: Solve for x
    x = 73,508,429,540.92/381,193.58
  6. Step 6: Final answer
    x = 192,837.54

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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.