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Finding the Fourth Proportional to 285,197.69, 428,217.07 and 159,084.34

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Solution

The fourth proportional to 285,197.69, 428,217.07 and 159,084.34 is: 238,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,197.69 : 428,217.07 = 159,084.34 : x
  2. Step 2: Convert to fraction form
    285,197.69/428,217.07 = 159,084.34/x
  3. Step 3: Cross multiply
    285,197.69x = 428,217.07 × 159,084.34
  4. Step 4: Simplify right side
    285,197.69x = 68,122,629,957.68
  5. Step 5: Solve for x
    x = 68,122,629,957.68/285,197.69
  6. Step 6: Final answer
    x = 238,861.09

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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.