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Finding the Fourth Proportional to 381,659.44, 526,669.46 and 211,882.63

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Solution

The fourth proportional to 381,659.44, 526,669.46 and 211,882.63 is: 292,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,659.44 : 526,669.46 = 211,882.63 : x
  2. Step 2: Convert to fraction form
    381,659.44/526,669.46 = 211,882.63/x
  3. Step 3: Cross multiply
    381,659.44x = 526,669.46 × 211,882.63
  4. Step 4: Simplify right side
    381,659.44x = 111,592,108,221.84
  5. Step 5: Solve for x
    x = 111,592,108,221.84/381,659.44
  6. Step 6: Final answer
    x = 292,386.61

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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.