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Finding the Fourth Proportional to 565,943.26, 780,997.92 and 320,974.64

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Solution

The fourth proportional to 565,943.26, 780,997.92 and 320,974.64 is: 442,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,943.26 : 780,997.92 = 320,974.64 : x
  2. Step 2: Convert to fraction form
    565,943.26/780,997.92 = 320,974.64/x
  3. Step 3: Cross multiply
    565,943.26x = 780,997.92 × 320,974.64
  4. Step 4: Simplify right side
    565,943.26x = 250,680,526,212.75
  5. Step 5: Solve for x
    x = 250,680,526,212.75/565,943.26
  6. Step 6: Final answer
    x = 442,942.86

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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.