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Finding the Fourth Proportional to 455,857.30, 682,801.80 and 396,808.30

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Solution

The fourth proportional to 455,857.30, 682,801.80 and 396,808.30 is: 594,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,857.30 : 682,801.80 = 396,808.30 : x
  2. Step 2: Convert to fraction form
    455,857.30/682,801.80 = 396,808.30/x
  3. Step 3: Cross multiply
    455,857.30x = 682,801.80 × 396,808.30
  4. Step 4: Simplify right side
    455,857.30x = 270,941,421,494.94
  5. Step 5: Solve for x
    x = 270,941,421,494.94/455,857.30
  6. Step 6: Final answer
    x = 594,355.78

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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.