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Finding the Fourth Proportional to 381,722.27, 526,800.47 and 211,957.61

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Solution

The fourth proportional to 381,722.27, 526,800.47 and 211,957.61 is: 292,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,722.27 : 526,800.47 = 211,957.61 : x
  2. Step 2: Convert to fraction form
    381,722.27/526,800.47 = 211,957.61/x
  3. Step 3: Cross multiply
    381,722.27x = 526,800.47 × 211,957.61
  4. Step 4: Simplify right side
    381,722.27x = 111,659,364,874.29
  5. Step 5: Solve for x
    x = 111,659,364,874.29/381,722.27
  6. Step 6: Final answer
    x = 292,514.68

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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.