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Finding the Fourth Proportional to 322,588.86, 445,033.35 and 201,519.42

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Solution

The fourth proportional to 322,588.86, 445,033.35 and 201,519.42 is: 278,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,588.86 : 445,033.35 = 201,519.42 : x
  2. Step 2: Convert to fraction form
    322,588.86/445,033.35 = 201,519.42/x
  3. Step 3: Cross multiply
    322,588.86x = 445,033.35 × 201,519.42
  4. Step 4: Simplify right side
    322,588.86x = 89,682,862,572.66
  5. Step 5: Solve for x
    x = 89,682,862,572.66/322,588.86
  6. Step 6: Final answer
    x = 278,009.79

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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.