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Finding the Fourth Proportional to 394,163.56, 543,937.38 and 224,395.24

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Solution

The fourth proportional to 394,163.56, 543,937.38 and 224,395.24 is: 309,660.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,163.56 : 543,937.38 = 224,395.24 : x
  2. Step 2: Convert to fraction form
    394,163.56/543,937.38 = 224,395.24/x
  3. Step 3: Cross multiply
    394,163.56x = 543,937.38 × 224,395.24
  4. Step 4: Simplify right side
    394,163.56x = 122,056,958,930.07
  5. Step 5: Solve for x
    x = 122,056,958,930.07/394,163.56
  6. Step 6: Final answer
    x = 309,660.69

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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.