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Finding the Fourth Proportional to 2,764,864, 4,147,296 and 663,616

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Solution

The fourth proportional to 2,764,864, 4,147,296 and 663,616 is: 995,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,864 : 4,147,296 = 663,616 : x
  2. Step 2: Convert to fraction form
    2,764,864/4,147,296 = 663,616/x
  3. Step 3: Cross multiply
    2,764,864x = 4,147,296 × 663,616
  4. Step 4: Simplify right side
    2,764,864x = 2,752,211,982,336
  5. Step 5: Solve for x
    x = 2,752,211,982,336/2,764,864
  6. Step 6: Final answer
    x = 995,424

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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.