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Finding the Fourth Proportional to 287,245.84, 396,414.96 and 159,918.64

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Solution

The fourth proportional to 287,245.84, 396,414.96 and 159,918.64 is: 220,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,245.84 : 396,414.96 = 159,918.64 : x
  2. Step 2: Convert to fraction form
    287,245.84/396,414.96 = 159,918.64/x
  3. Step 3: Cross multiply
    287,245.84x = 396,414.96 × 159,918.64
  4. Step 4: Simplify right side
    287,245.84x = 63,394,141,278.85
  5. Step 5: Solve for x
    x = 63,394,141,278.85/287,245.84
  6. Step 6: Final answer
    x = 220,696.46

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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.