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Finding the Fourth Proportional to 287,182, 396,304.24 and 159,854.80

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Solution

The fourth proportional to 287,182, 396,304.24 and 159,854.80 is: 220,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,182 : 396,304.24 = 159,854.80 : x
  2. Step 2: Convert to fraction form
    287,182/396,304.24 = 159,854.80/x
  3. Step 3: Cross multiply
    287,182x = 396,304.24 × 159,854.80
  4. Step 4: Simplify right side
    287,182x = 63,351,135,024.35
  5. Step 5: Solve for x
    x = 63,351,135,024.35/287,182
  6. Step 6: Final answer
    x = 220,595.77

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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.