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Finding the Fourth Proportional to 412,171.78, 568,299.36 and 320,317.78

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Solution

The fourth proportional to 412,171.78, 568,299.36 and 320,317.78 is: 441,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,171.78 : 568,299.36 = 320,317.78 : x
  2. Step 2: Convert to fraction form
    412,171.78/568,299.36 = 320,317.78/x
  3. Step 3: Cross multiply
    412,171.78x = 568,299.36 × 320,317.78
  4. Step 4: Simplify right side
    412,171.78x = 182,036,389,370.62
  5. Step 5: Solve for x
    x = 182,036,389,370.62/412,171.78
  6. Step 6: Final answer
    x = 441,651.75

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1.5x scale

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.