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Finding the Fourth Proportional to 431,387.89, 647,083.50 and 131,867.32

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Solution

The fourth proportional to 431,387.89, 647,083.50 and 131,867.32 is: 197,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,387.89 : 647,083.50 = 131,867.32 : x
  2. Step 2: Convert to fraction form
    431,387.89/647,083.50 = 131,867.32/x
  3. Step 3: Cross multiply
    431,387.89x = 647,083.50 × 131,867.32
  4. Step 4: Simplify right side
    431,387.89x = 85,329,166,961.22
  5. Step 5: Solve for x
    x = 85,329,166,961.22/431,387.89
  6. Step 6: Final answer
    x = 197,801.49

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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.