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Finding the Fourth Proportional to 394,163.31, 543,945.22 and 212,875.28

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Solution

The fourth proportional to 394,163.31, 543,945.22 and 212,875.28 is: 293,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,163.31 : 543,945.22 = 212,875.28 : x
  2. Step 2: Convert to fraction form
    394,163.31/543,945.22 = 212,875.28/x
  3. Step 3: Cross multiply
    394,163.31x = 543,945.22 × 212,875.28
  4. Step 4: Simplify right side
    394,163.31x = 115,792,491,012.16
  5. Step 5: Solve for x
    x = 115,792,491,012.16/394,163.31
  6. Step 6: Final answer
    x = 293,767.81

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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.