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Finding the Fourth Proportional to 381,310.36, 526,208.10 and 209,229.44

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Solution

The fourth proportional to 381,310.36, 526,208.10 and 209,229.44 is: 288,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,310.36 : 526,208.10 = 209,229.44 : x
  2. Step 2: Convert to fraction form
    381,310.36/526,208.10 = 209,229.44/x
  3. Step 3: Cross multiply
    381,310.36x = 526,208.10 × 209,229.44
  4. Step 4: Simplify right side
    381,310.36x = 110,098,222,670.81
  5. Step 5: Solve for x
    x = 110,098,222,670.81/381,310.36
  6. Step 6: Final answer
    x = 288,736.51

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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.