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Finding the Fourth Proportional to 381,481.56, 526,433.94 and 209,399.40

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Solution

The fourth proportional to 381,481.56, 526,433.94 and 209,399.40 is: 288,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,481.56 : 526,433.94 = 209,399.40 : x
  2. Step 2: Convert to fraction form
    381,481.56/526,433.94 = 209,399.40/x
  3. Step 3: Cross multiply
    381,481.56x = 526,433.94 × 209,399.40
  4. Step 4: Simplify right side
    381,481.56x = 110,234,951,175.64
  5. Step 5: Solve for x
    x = 110,234,951,175.64/381,481.56
  6. Step 6: Final answer
    x = 288,965.35

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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.