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Finding the Fourth Proportional to 287,198.55, 430,843.41 and 87,472.62

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Solution

The fourth proportional to 287,198.55, 430,843.41 and 87,472.62 is: 131,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,198.55 : 430,843.41 = 87,472.62 : x
  2. Step 2: Convert to fraction form
    287,198.55/430,843.41 = 87,472.62/x
  3. Step 3: Cross multiply
    287,198.55x = 430,843.41 × 87,472.62
  4. Step 4: Simplify right side
    287,198.55x = 37,687,001,882.43
  5. Step 5: Solve for x
    x = 37,687,001,882.43/287,198.55
  6. Step 6: Final answer
    x = 131,222.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.