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Finding the Fourth Proportional to 381,301.28, 571,948.16 and 96,992.64

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Solution

The fourth proportional to 381,301.28, 571,948.16 and 96,992.64 is: 145,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,301.28 : 571,948.16 = 96,992.64 : x
  2. Step 2: Convert to fraction form
    381,301.28/571,948.16 = 96,992.64/x
  3. Step 3: Cross multiply
    381,301.28x = 571,948.16 × 96,992.64
  4. Step 4: Simplify right side
    381,301.28x = 55,474,761,981.54
  5. Step 5: Solve for x
    x = 55,474,761,981.54/381,301.28
  6. Step 6: Final answer
    x = 145,488.00

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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.