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Finding the Fourth Proportional to 777,723, 1,073,257.74 and 420,027

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Solution

The fourth proportional to 777,723, 1,073,257.74 and 420,027 is: 579,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,723 : 1,073,257.74 = 420,027 : x
  2. Step 2: Convert to fraction form
    777,723/1,073,257.74 = 420,027/x
  3. Step 3: Cross multiply
    777,723x = 1,073,257.74 × 420,027
  4. Step 4: Simplify right side
    777,723x = 450,797,228,758.98
  5. Step 5: Solve for x
    x = 450,797,228,758.98/777,723
  6. Step 6: Final answer
    x = 579,637.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.