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Finding the Fourth Proportional to 419,176.82, 626,833.84 and 311,309.88

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Solution

The fourth proportional to 419,176.82, 626,833.84 and 311,309.88 is: 465,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,176.82 : 626,833.84 = 311,309.88 : x
  2. Step 2: Convert to fraction form
    419,176.82/626,833.84 = 311,309.88/x
  3. Step 3: Cross multiply
    419,176.82x = 626,833.84 × 311,309.88
  4. Step 4: Simplify right side
    419,176.82x = 195,139,568,491.08
  5. Step 5: Solve for x
    x = 195,139,568,491.08/419,176.82
  6. Step 6: Final answer
    x = 465,530.43

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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.