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Finding the Fourth Proportional to 282,293.82, 389,561.67 and 161,454.78

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Solution

The fourth proportional to 282,293.82, 389,561.67 and 161,454.78 is: 222,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,293.82 : 389,561.67 = 161,454.78 : x
  2. Step 2: Convert to fraction form
    282,293.82/389,561.67 = 161,454.78/x
  3. Step 3: Cross multiply
    282,293.82x = 389,561.67 × 161,454.78
  4. Step 4: Simplify right side
    282,293.82x = 62,896,593,726.28
  5. Step 5: Solve for x
    x = 62,896,593,726.28/282,293.82
  6. Step 6: Final answer
    x = 222,805.42

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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.