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Finding the Fourth Proportional to 381,318.30, 571,992.30 and 115,078.86

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Solution

The fourth proportional to 381,318.30, 571,992.30 and 115,078.86 is: 172,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,318.30 : 571,992.30 = 115,078.86 : x
  2. Step 2: Convert to fraction form
    381,318.30/571,992.30 = 115,078.86/x
  3. Step 3: Cross multiply
    381,318.30x = 571,992.30 × 115,078.86
  4. Step 4: Simplify right side
    381,318.30x = 65,824,221,812.78
  5. Step 5: Solve for x
    x = 65,824,221,812.78/381,318.30
  6. Step 6: Final answer
    x = 172,622.77

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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.