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Finding the Fourth Proportional to 433,144.08, 649,716.12 and 211,338

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Solution

The fourth proportional to 433,144.08, 649,716.12 and 211,338 is: 317,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,144.08 : 649,716.12 = 211,338 : x
  2. Step 2: Convert to fraction form
    433,144.08/649,716.12 = 211,338/x
  3. Step 3: Cross multiply
    433,144.08x = 649,716.12 × 211,338
  4. Step 4: Simplify right side
    433,144.08x = 137,309,705,368.56
  5. Step 5: Solve for x
    x = 137,309,705,368.56/433,144.08
  6. Step 6: Final answer
    x = 317,007

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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.