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Finding the Fourth Proportional to 427,231.44, 640,286.64 and 314,383.32

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Solution

The fourth proportional to 427,231.44, 640,286.64 and 314,383.32 is: 471,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,231.44 : 640,286.64 = 314,383.32 : x
  2. Step 2: Convert to fraction form
    427,231.44/640,286.64 = 314,383.32/x
  3. Step 3: Cross multiply
    427,231.44x = 640,286.64 × 314,383.32
  4. Step 4: Simplify right side
    427,231.44x = 201,295,439,634.85
  5. Step 5: Solve for x
    x = 201,295,439,634.85/427,231.44
  6. Step 6: Final answer
    x = 471,162.51

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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.