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Finding the Fourth Proportional to 381,447.66, 526,380.03 and 211,680.30

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Solution

The fourth proportional to 381,447.66, 526,380.03 and 211,680.30 is: 292,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,447.66 : 526,380.03 = 211,680.30 : x
  2. Step 2: Convert to fraction form
    381,447.66/526,380.03 = 211,680.30/x
  3. Step 3: Cross multiply
    381,447.66x = 526,380.03 × 211,680.30
  4. Step 4: Simplify right side
    381,447.66x = 111,424,282,664.41
  5. Step 5: Solve for x
    x = 111,424,282,664.41/381,447.66
  6. Step 6: Final answer
    x = 292,108.97

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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.