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Finding the Fourth Proportional to 319,780.82, 479,418.16 and 120,078.96

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Solution

The fourth proportional to 319,780.82, 479,418.16 and 120,078.96 is: 180,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,780.82 : 479,418.16 = 120,078.96 : x
  2. Step 2: Convert to fraction form
    319,780.82/479,418.16 = 120,078.96/x
  3. Step 3: Cross multiply
    319,780.82x = 479,418.16 × 120,078.96
  4. Step 4: Simplify right side
    319,780.82x = 57,568,034,057.91
  5. Step 5: Solve for x
    x = 57,568,034,057.91/319,780.82
  6. Step 6: Final answer
    x = 180,023.41

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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.