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Finding the Fourth Proportional to 306,183.92, 422,500.68 and 170,223.68

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Solution

The fourth proportional to 306,183.92, 422,500.68 and 170,223.68 is: 234,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,183.92 : 422,500.68 = 170,223.68 : x
  2. Step 2: Convert to fraction form
    306,183.92/422,500.68 = 170,223.68/x
  3. Step 3: Cross multiply
    306,183.92x = 422,500.68 × 170,223.68
  4. Step 4: Simplify right side
    306,183.92x = 71,919,620,552.10
  5. Step 5: Solve for x
    x = 71,919,620,552.10/306,183.92
  6. Step 6: Final answer
    x = 234,890.26

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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.