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Finding the Fourth Proportional to 381,494.88, 526,488.12 and 211,728.96

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Solution

The fourth proportional to 381,494.88, 526,488.12 and 211,728.96 is: 292,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,494.88 : 526,488.12 = 211,728.96 : x
  2. Step 2: Convert to fraction form
    381,494.88/526,488.12 = 211,728.96/x
  3. Step 3: Cross multiply
    381,494.88x = 526,488.12 × 211,728.96
  4. Step 4: Simplify right side
    381,494.88x = 111,472,782,099.96
  5. Step 5: Solve for x
    x = 111,472,782,099.96/381,494.88
  6. Step 6: Final answer
    x = 292,199.94

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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.