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Finding the Fourth Proportional to 431,376.92, 647,067 and 131,856.32

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Solution

The fourth proportional to 431,376.92, 647,067 and 131,856.32 is: 197,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,376.92 : 647,067 = 131,856.32 : x
  2. Step 2: Convert to fraction form
    431,376.92/647,067 = 131,856.32/x
  3. Step 3: Cross multiply
    431,376.92x = 647,067 × 131,856.32
  4. Step 4: Simplify right side
    431,376.92x = 85,319,873,413.44
  5. Step 5: Solve for x
    x = 85,319,873,413.44/431,376.92
  6. Step 6: Final answer
    x = 197,784.98

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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.