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Finding the Fourth Proportional to 381,763.26, 572,146.74 and 213,276.78

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Solution

The fourth proportional to 381,763.26, 572,146.74 and 213,276.78 is: 319,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,763.26 : 572,146.74 = 213,276.78 : x
  2. Step 2: Convert to fraction form
    381,763.26/572,146.74 = 213,276.78/x
  3. Step 3: Cross multiply
    381,763.26x = 572,146.74 × 213,276.78
  4. Step 4: Simplify right side
    381,763.26x = 122,025,614,394.70
  5. Step 5: Solve for x
    x = 122,025,614,394.70/381,763.26
  6. Step 6: Final answer
    x = 319,636.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.