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Finding the Fourth Proportional to 311,309.57, 426,805.03 and 305,634.46

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Solution

The fourth proportional to 311,309.57, 426,805.03 and 305,634.46 is: 419,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,309.57 : 426,805.03 = 305,634.46 : x
  2. Step 2: Convert to fraction form
    311,309.57/426,805.03 = 305,634.46/x
  3. Step 3: Cross multiply
    311,309.57x = 426,805.03 × 305,634.46
  4. Step 4: Simplify right side
    311,309.57x = 130,446,325,784.88
  5. Step 5: Solve for x
    x = 130,446,325,784.88/311,309.57
  6. Step 6: Final answer
    x = 419,024.46

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1.5x scale

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.