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Finding the Fourth Proportional to 288,563.96, 398,183.90 and 159,494.52

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Solution

The fourth proportional to 288,563.96, 398,183.90 and 159,494.52 is: 220,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563.96 : 398,183.90 = 159,494.52 : x
  2. Step 2: Convert to fraction form
    288,563.96/398,183.90 = 159,494.52/x
  3. Step 3: Cross multiply
    288,563.96x = 398,183.90 × 159,494.52
  4. Step 4: Simplify right side
    288,563.96x = 63,508,150,002.23
  5. Step 5: Solve for x
    x = 63,508,150,002.23/288,563.96
  6. Step 6: Final answer
    x = 220,083.44

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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.