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Finding the Fourth Proportional to 381,351.64, 526,328.40 and 211,640.44

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Solution

The fourth proportional to 381,351.64, 526,328.40 and 211,640.44 is: 292,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,351.64 : 526,328.40 = 211,640.44 : x
  2. Step 2: Convert to fraction form
    381,351.64/526,328.40 = 211,640.44/x
  3. Step 3: Cross multiply
    381,351.64x = 526,328.40 × 211,640.44
  4. Step 4: Simplify right side
    381,351.64x = 111,392,374,160.50
  5. Step 5: Solve for x
    x = 111,392,374,160.50/381,351.64
  6. Step 6: Final answer
    x = 292,098.85

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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.