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Finding the Fourth Proportional to 311,536.26, 430,063.56 and 182,456.82

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Solution

The fourth proportional to 311,536.26, 430,063.56 and 182,456.82 is: 251,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,536.26 : 430,063.56 = 182,456.82 : x
  2. Step 2: Convert to fraction form
    311,536.26/430,063.56 = 182,456.82/x
  3. Step 3: Cross multiply
    311,536.26x = 430,063.56 × 182,456.82
  4. Step 4: Simplify right side
    311,536.26x = 78,468,029,555.48
  5. Step 5: Solve for x
    x = 78,468,029,555.48/311,536.26
  6. Step 6: Final answer
    x = 251,874.47

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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.