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Finding the Fourth Proportional to 282,363.95, 389,671.39 and 161,505.47

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Solution

The fourth proportional to 282,363.95, 389,671.39 and 161,505.47 is: 222,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,363.95 : 389,671.39 = 161,505.47 : x
  2. Step 2: Convert to fraction form
    282,363.95/389,671.39 = 161,505.47/x
  3. Step 3: Cross multiply
    282,363.95x = 389,671.39 × 161,505.47
  4. Step 4: Simplify right side
    282,363.95x = 62,934,062,163.56
  5. Step 5: Solve for x
    x = 62,934,062,163.56/282,363.95
  6. Step 6: Final answer
    x = 222,882.78

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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.