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Finding the Fourth Proportional to 455,791.80, 682,703.55 and 396,742.80

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Solution

The fourth proportional to 455,791.80, 682,703.55 and 396,742.80 is: 594,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,791.80 : 682,703.55 = 396,742.80 : x
  2. Step 2: Convert to fraction form
    455,791.80/682,703.55 = 396,742.80/x
  3. Step 3: Cross multiply
    455,791.80x = 682,703.55 × 396,742.80
  4. Step 4: Simplify right side
    455,791.80x = 270,857,717,996.94
  5. Step 5: Solve for x
    x = 270,857,717,996.94/455,791.80
  6. Step 6: Final answer
    x = 594,257.55

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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.