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Finding the Fourth Proportional to 547,310.56, 820,756.72 and 262,920.06

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Solution

The fourth proportional to 547,310.56, 820,756.72 and 262,920.06 is: 394,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,310.56 : 820,756.72 = 262,920.06 : x
  2. Step 2: Convert to fraction form
    547,310.56/820,756.72 = 262,920.06/x
  3. Step 3: Cross multiply
    547,310.56x = 820,756.72 × 262,920.06
  4. Step 4: Simplify right side
    547,310.56x = 215,793,406,067.80
  5. Step 5: Solve for x
    x = 215,793,406,067.80/547,310.56
  6. Step 6: Final answer
    x = 394,279.63

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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.