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Finding the Fourth Proportional to 455,196.20, 682,794.30 and 278,049.20

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Solution

The fourth proportional to 455,196.20, 682,794.30 and 278,049.20 is: 417,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,196.20 : 682,794.30 = 278,049.20 : x
  2. Step 2: Convert to fraction form
    455,196.20/682,794.30 = 278,049.20/x
  3. Step 3: Cross multiply
    455,196.20x = 682,794.30 × 278,049.20
  4. Step 4: Simplify right side
    455,196.20x = 189,850,408,879.56
  5. Step 5: Solve for x
    x = 189,850,408,879.56/455,196.20
  6. Step 6: Final answer
    x = 417,073.80

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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.