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Finding the Fourth Proportional to 472,093.38, 708,757.35 and 280,317.78

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Solution

The fourth proportional to 472,093.38, 708,757.35 and 280,317.78 is: 420,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,093.38 : 708,757.35 = 280,317.78 : x
  2. Step 2: Convert to fraction form
    472,093.38/708,757.35 = 280,317.78/x
  3. Step 3: Cross multiply
    472,093.38x = 708,757.35 × 280,317.78
  4. Step 4: Simplify right side
    472,093.38x = 198,677,286,910.68
  5. Step 5: Solve for x
    x = 198,677,286,910.68/472,093.38
  6. Step 6: Final answer
    x = 420,843.20

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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.