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Finding the Fourth Proportional to 288,041.64, 431,650.64 and 211,540.12

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Solution

The fourth proportional to 288,041.64, 431,650.64 and 211,540.12 is: 317,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,041.64 : 431,650.64 = 211,540.12 : x
  2. Step 2: Convert to fraction form
    288,041.64/431,650.64 = 211,540.12/x
  3. Step 3: Cross multiply
    288,041.64x = 431,650.64 × 211,540.12
  4. Step 4: Simplify right side
    288,041.64x = 91,311,428,183.68
  5. Step 5: Solve for x
    x = 91,311,428,183.68/288,041.64
  6. Step 6: Final answer
    x = 317,007.74

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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.