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Finding the Fourth Proportional to 285,197.92, 428,217.41 and 159,084.56

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Solution

The fourth proportional to 285,197.92, 428,217.41 and 159,084.56 is: 238,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,197.92 : 428,217.41 = 159,084.56 : x
  2. Step 2: Convert to fraction form
    285,197.92/428,217.41 = 159,084.56/x
  3. Step 3: Cross multiply
    285,197.92x = 428,217.41 × 159,084.56
  4. Step 4: Simplify right side
    285,197.92x = 68,122,779,722.44
  5. Step 5: Solve for x
    x = 68,122,779,722.44/285,197.92
  6. Step 6: Final answer
    x = 238,861.42

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1.5x scale

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.