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Finding the Fourth Proportional to 381,147.72, 571,628.62 and 128,362.41

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Solution

The fourth proportional to 381,147.72, 571,628.62 and 128,362.41 is: 192,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,147.72 : 571,628.62 = 128,362.41 : x
  2. Step 2: Convert to fraction form
    381,147.72/571,628.62 = 128,362.41/x
  3. Step 3: Cross multiply
    381,147.72x = 571,628.62 × 128,362.41
  4. Step 4: Simplify right side
    381,147.72x = 73,375,627,288.17
  5. Step 5: Solve for x
    x = 73,375,627,288.17/381,147.72
  6. Step 6: Final answer
    x = 192,512.31

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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.