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Finding the Fourth Proportional to 280,408.41, 419,874.48 and 167,821.65

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Solution

The fourth proportional to 280,408.41, 419,874.48 and 167,821.65 is: 251,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,408.41 : 419,874.48 = 167,821.65 : x
  2. Step 2: Convert to fraction form
    280,408.41/419,874.48 = 167,821.65/x
  3. Step 3: Cross multiply
    280,408.41x = 419,874.48 × 167,821.65
  4. Step 4: Simplify right side
    280,408.41x = 70,464,028,026.49
  5. Step 5: Solve for x
    x = 70,464,028,026.49/280,408.41
  6. Step 6: Final answer
    x = 251,290.71

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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.