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Finding the Fourth Proportional to 455,022.72, 682,620.48 and 205,704

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Solution

The fourth proportional to 455,022.72, 682,620.48 and 205,704 is: 308,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,022.72 : 682,620.48 = 205,704 : x
  2. Step 2: Convert to fraction form
    455,022.72/682,620.48 = 205,704/x
  3. Step 3: Cross multiply
    455,022.72x = 682,620.48 × 205,704
  4. Step 4: Simplify right side
    455,022.72x = 140,417,763,217.92
  5. Step 5: Solve for x
    x = 140,417,763,217.92/455,022.72
  6. Step 6: Final answer
    x = 308,595.06

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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.