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Finding the Fourth Proportional to 381,862.56, 526,988.96 and 212,093.04

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Solution

The fourth proportional to 381,862.56, 526,988.96 and 212,093.04 is: 292,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,862.56 : 526,988.96 = 212,093.04 : x
  2. Step 2: Convert to fraction form
    381,862.56/526,988.96 = 212,093.04/x
  3. Step 3: Cross multiply
    381,862.56x = 526,988.96 × 212,093.04
  4. Step 4: Simplify right side
    381,862.56x = 111,770,690,572.84
  5. Step 5: Solve for x
    x = 111,770,690,572.84/381,862.56
  6. Step 6: Final answer
    x = 292,698.74

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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.