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Finding the Fourth Proportional to 311,431.56, 426,972.57 and 305,756.43

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Solution

The fourth proportional to 311,431.56, 426,972.57 and 305,756.43 is: 419,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.56 : 426,972.57 = 305,756.43 : x
  2. Step 2: Convert to fraction form
    311,431.56/426,972.57 = 305,756.43/x
  3. Step 3: Cross multiply
    311,431.56x = 426,972.57 × 305,756.43
  4. Step 4: Simplify right side
    311,431.56x = 130,549,608,711.13
  5. Step 5: Solve for x
    x = 130,549,608,711.13/311,431.56
  6. Step 6: Final answer
    x = 419,191.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.