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Finding the Fourth Proportional to 381,385.92, 526,277.78 and 226,310.48

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Solution

The fourth proportional to 381,385.92, 526,277.78 and 226,310.48 is: 312,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.92 : 526,277.78 = 226,310.48 : x
  2. Step 2: Convert to fraction form
    381,385.92/526,277.78 = 226,310.48/x
  3. Step 3: Cross multiply
    381,385.92x = 526,277.78 × 226,310.48
  4. Step 4: Simplify right side
    381,385.92x = 119,102,177,005.13
  5. Step 5: Solve for x
    x = 119,102,177,005.13/381,385.92
  6. Step 6: Final answer
    x = 312,287.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.