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Finding the Fourth Proportional to 381,863.68, 526,957.14 and 212,108.56

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Solution

The fourth proportional to 381,863.68, 526,957.14 and 212,108.56 is: 292,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,863.68 : 526,957.14 = 212,108.56 : x
  2. Step 2: Convert to fraction form
    381,863.68/526,957.14 = 212,108.56/x
  3. Step 3: Cross multiply
    381,863.68x = 526,957.14 × 212,108.56
  4. Step 4: Simplify right side
    381,863.68x = 111,772,120,147.12
  5. Step 5: Solve for x
    x = 111,772,120,147.12/381,863.68
  6. Step 6: Final answer
    x = 292,701.63

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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.