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Finding the Fourth Proportional to 431,383.89, 647,077.50 and 131,863.32

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Solution

The fourth proportional to 431,383.89, 647,077.50 and 131,863.32 is: 197,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,383.89 : 647,077.50 = 131,863.32 : x
  2. Step 2: Convert to fraction form
    431,383.89/647,077.50 = 131,863.32/x
  3. Step 3: Cross multiply
    431,383.89x = 647,077.50 × 131,863.32
  4. Step 4: Simplify right side
    431,383.89x = 85,325,787,447.30
  5. Step 5: Solve for x
    x = 85,325,787,447.30/431,383.89
  6. Step 6: Final answer
    x = 197,795.49

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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.