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Finding the Fourth Proportional to 285,676.20, 428,222.70 and 167,286.60

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Solution

The fourth proportional to 285,676.20, 428,222.70 and 167,286.60 is: 250,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,676.20 : 428,222.70 = 167,286.60 : x
  2. Step 2: Convert to fraction form
    285,676.20/428,222.70 = 167,286.60/x
  3. Step 3: Cross multiply
    285,676.20x = 428,222.70 × 167,286.60
  4. Step 4: Simplify right side
    285,676.20x = 71,635,919,525.82
  5. Step 5: Solve for x
    x = 71,635,919,525.82/285,676.20
  6. Step 6: Final answer
    x = 250,759.14

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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.