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Finding the Fourth Proportional to 381,414.80, 526,323.24 and 220,196.24

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Solution

The fourth proportional to 381,414.80, 526,323.24 and 220,196.24 is: 303,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,414.80 : 526,323.24 = 220,196.24 : x
  2. Step 2: Convert to fraction form
    381,414.80/526,323.24 = 220,196.24/x
  3. Step 3: Cross multiply
    381,414.80x = 526,323.24 × 220,196.24
  4. Step 4: Simplify right side
    381,414.80x = 115,894,398,472.62
  5. Step 5: Solve for x
    x = 115,894,398,472.62/381,414.80
  6. Step 6: Final answer
    x = 303,853.96

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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.