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Finding the Fourth Proportional to 287,367.67, 396,567.21 and 166,578.94

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Solution

The fourth proportional to 287,367.67, 396,567.21 and 166,578.94 is: 229,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,367.67 : 396,567.21 = 166,578.94 : x
  2. Step 2: Convert to fraction form
    287,367.67/396,567.21 = 166,578.94/x
  3. Step 3: Cross multiply
    287,367.67x = 396,567.21 × 166,578.94
  4. Step 4: Simplify right side
    287,367.67x = 66,059,745,480.56
  5. Step 5: Solve for x
    x = 66,059,745,480.56/287,367.67
  6. Step 6: Final answer
    x = 229,878.84

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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.