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Finding the Fourth Proportional to 311,874.82, 430,387.50 and 168,634.96

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Solution

The fourth proportional to 311,874.82, 430,387.50 and 168,634.96 is: 232,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.82 : 430,387.50 = 168,634.96 : x
  2. Step 2: Convert to fraction form
    311,874.82/430,387.50 = 168,634.96/x
  3. Step 3: Cross multiply
    311,874.82x = 430,387.50 × 168,634.96
  4. Step 4: Simplify right side
    311,874.82x = 72,578,378,847
  5. Step 5: Solve for x
    x = 72,578,378,847/311,874.82
  6. Step 6: Final answer
    x = 232,716.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.