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Finding the Fourth Proportional to 381,796.88, 526,865.24 and 212,041.94

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Solution

The fourth proportional to 381,796.88, 526,865.24 and 212,041.94 is: 292,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,796.88 : 526,865.24 = 212,041.94 : x
  2. Step 2: Convert to fraction form
    381,796.88/526,865.24 = 212,041.94/x
  3. Step 3: Cross multiply
    381,796.88x = 526,865.24 × 212,041.94
  4. Step 4: Simplify right side
    381,796.88x = 111,717,527,608.17
  5. Step 5: Solve for x
    x = 111,717,527,608.17/381,796.88
  6. Step 6: Final answer
    x = 292,609.85

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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.