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Finding the Fourth Proportional to 287,172.96, 396,291.84 and 159,845.82

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Solution

The fourth proportional to 287,172.96, 396,291.84 and 159,845.82 is: 220,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.96 : 396,291.84 = 159,845.82 : x
  2. Step 2: Convert to fraction form
    287,172.96/396,291.84 = 159,845.82/x
  3. Step 3: Cross multiply
    287,172.96x = 396,291.84 × 159,845.82
  4. Step 4: Simplify right side
    287,172.96x = 63,345,594,124.11
  5. Step 5: Solve for x
    x = 63,345,594,124.11/287,172.96
  6. Step 6: Final answer
    x = 220,583.42

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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.