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Finding the Fourth Proportional to 381,512.56, 526,511.92 and 211,746.72

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Solution

The fourth proportional to 381,512.56, 526,511.92 and 211,746.72 is: 292,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,512.56 : 526,511.92 = 211,746.72 : x
  2. Step 2: Convert to fraction form
    381,512.56/526,511.92 = 211,746.72/x
  3. Step 3: Cross multiply
    381,512.56x = 526,511.92 × 211,746.72
  4. Step 4: Simplify right side
    381,512.56x = 111,487,172,100.90
  5. Step 5: Solve for x
    x = 111,487,172,100.90/381,512.56
  6. Step 6: Final answer
    x = 292,224.12

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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.