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Finding the Fourth Proportional to 381,841.80, 526,999.16 and 274,766.28

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Solution

The fourth proportional to 381,841.80, 526,999.16 and 274,766.28 is: 379,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,841.80 : 526,999.16 = 274,766.28 : x
  2. Step 2: Convert to fraction form
    381,841.80/526,999.16 = 274,766.28/x
  3. Step 3: Cross multiply
    381,841.80x = 526,999.16 × 274,766.28
  4. Step 4: Simplify right side
    381,841.80x = 144,801,598,756.33
  5. Step 5: Solve for x
    x = 144,801,598,756.33/381,841.80
  6. Step 6: Final answer
    x = 379,218.83

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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.