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Finding the Fourth Proportional to 381,713.76, 526,766.16 and 211,948.32

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Solution

The fourth proportional to 381,713.76, 526,766.16 and 211,948.32 is: 292,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,713.76 : 526,766.16 = 211,948.32 : x
  2. Step 2: Convert to fraction form
    381,713.76/526,766.16 = 211,948.32/x
  3. Step 3: Cross multiply
    381,713.76x = 526,766.16 × 211,948.32
  4. Step 4: Simplify right side
    381,713.76x = 111,647,202,644.85
  5. Step 5: Solve for x
    x = 111,647,202,644.85/381,713.76
  6. Step 6: Final answer
    x = 292,489.33

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1.5x scale

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.