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Finding the Fourth Proportional to 381,814.31, 526,873 and 220,679.80

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Solution

The fourth proportional to 381,814.31, 526,873 and 220,679.80 is: 304,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,814.31 : 526,873 = 220,679.80 : x
  2. Step 2: Convert to fraction form
    381,814.31/526,873 = 220,679.80/x
  3. Step 3: Cross multiply
    381,814.31x = 526,873 × 220,679.80
  4. Step 4: Simplify right side
    381,814.31x = 116,270,228,265.40
  5. Step 5: Solve for x
    x = 116,270,228,265.40/381,814.31
  6. Step 6: Final answer
    x = 304,520.35

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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.