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Finding the Fourth Proportional to 311,930.08, 467,934 and 101,511.52

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Solution

The fourth proportional to 311,930.08, 467,934 and 101,511.52 is: 152,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930.08 : 467,934 = 101,511.52 : x
  2. Step 2: Convert to fraction form
    311,930.08/467,934 = 101,511.52/x
  3. Step 3: Cross multiply
    311,930.08x = 467,934 × 101,511.52
  4. Step 4: Simplify right side
    311,930.08x = 47,500,691,599.68
  5. Step 5: Solve for x
    x = 47,500,691,599.68/311,930.08
  6. Step 6: Final answer
    x = 152,279.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.