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Finding the Fourth Proportional to 311,761.44, 430,374.60 and 182,682

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Solution

The fourth proportional to 311,761.44, 430,374.60 and 182,682 is: 252,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761.44 : 430,374.60 = 182,682 : x
  2. Step 2: Convert to fraction form
    311,761.44/430,374.60 = 182,682/x
  3. Step 3: Cross multiply
    311,761.44x = 430,374.60 × 182,682
  4. Step 4: Simplify right side
    311,761.44x = 78,621,692,677.20
  5. Step 5: Solve for x
    x = 78,621,692,677.20/311,761.44
  6. Step 6: Final answer
    x = 252,185.43

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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.