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Finding the Fourth Proportional to 287,172.72, 396,311.40 and 159,856.38

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Solution

The fourth proportional to 287,172.72, 396,311.40 and 159,856.38 is: 220,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.72 : 396,311.40 = 159,856.38 : x
  2. Step 2: Convert to fraction form
    287,172.72/396,311.40 = 159,856.38/x
  3. Step 3: Cross multiply
    287,172.72x = 396,311.40 × 159,856.38
  4. Step 4: Simplify right side
    287,172.72x = 63,352,905,756.73
  5. Step 5: Solve for x
    x = 63,352,905,756.73/287,172.72
  6. Step 6: Final answer
    x = 220,609.07

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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.