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Finding the Fourth Proportional to 427,515.76, 641,224.43 and 111,997.27

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Solution

The fourth proportional to 427,515.76, 641,224.43 and 111,997.27 is: 167,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,515.76 : 641,224.43 = 111,997.27 : x
  2. Step 2: Convert to fraction form
    427,515.76/641,224.43 = 111,997.27/x
  3. Step 3: Cross multiply
    427,515.76x = 641,224.43 × 111,997.27
  4. Step 4: Simplify right side
    427,515.76x = 71,815,385,617.31
  5. Step 5: Solve for x
    x = 71,815,385,617.31/427,515.76
  6. Step 6: Final answer
    x = 167,983.01

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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.