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Finding the Fourth Proportional to 381,717, 526,791.33 and 211,962.06

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Solution

The fourth proportional to 381,717, 526,791.33 and 211,962.06 is: 292,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,717 : 526,791.33 = 211,962.06 : x
  2. Step 2: Convert to fraction form
    381,717/526,791.33 = 211,962.06/x
  3. Step 3: Cross multiply
    381,717x = 526,791.33 × 211,962.06
  4. Step 4: Simplify right side
    381,717x = 111,659,775,496.94
  5. Step 5: Solve for x
    x = 111,659,775,496.94/381,717
  6. Step 6: Final answer
    x = 292,519.79

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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.