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Finding the Fourth Proportional to 381,258.97, 571,489.39 and 128,452.11

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Solution

The fourth proportional to 381,258.97, 571,489.39 and 128,452.11 is: 192,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,258.97 : 571,489.39 = 128,452.11 : x
  2. Step 2: Convert to fraction form
    381,258.97/571,489.39 = 128,452.11/x
  3. Step 3: Cross multiply
    381,258.97x = 571,489.39 × 128,452.11
  4. Step 4: Simplify right side
    381,258.97x = 73,409,017,988.11
  5. Step 5: Solve for x
    x = 73,409,017,988.11/381,258.97
  6. Step 6: Final answer
    x = 192,543.71

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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.