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Finding the Fourth Proportional to 381,858.84, 526,951.17 and 212,103.90

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Solution

The fourth proportional to 381,858.84, 526,951.17 and 212,103.90 is: 292,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,858.84 : 526,951.17 = 212,103.90 : x
  2. Step 2: Convert to fraction form
    381,858.84/526,951.17 = 212,103.90/x
  3. Step 3: Cross multiply
    381,858.84x = 526,951.17 × 212,103.90
  4. Step 4: Simplify right side
    381,858.84x = 111,768,398,266.56
  5. Step 5: Solve for x
    x = 111,768,398,266.56/381,858.84
  6. Step 6: Final answer
    x = 292,695.59

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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.