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Finding the Fourth Proportional to 381,857, 526,904.12 and 220,680.96

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Solution

The fourth proportional to 381,857, 526,904.12 and 220,680.96 is: 304,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,857 : 526,904.12 = 220,680.96 : x
  2. Step 2: Convert to fraction form
    381,857/526,904.12 = 220,680.96/x
  3. Step 3: Cross multiply
    381,857x = 526,904.12 × 220,680.96
  4. Step 4: Simplify right side
    381,857x = 116,277,707,029.56
  5. Step 5: Solve for x
    x = 116,277,707,029.56/381,857
  6. Step 6: Final answer
    x = 304,505.89

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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.