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Finding the Fourth Proportional to 411,821, 568,324.85 and 230,531.86

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Solution

The fourth proportional to 411,821, 568,324.85 and 230,531.86 is: 318,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,821 : 568,324.85 = 230,531.86 : x
  2. Step 2: Convert to fraction form
    411,821/568,324.85 = 230,531.86/x
  3. Step 3: Cross multiply
    411,821x = 568,324.85 × 230,531.86
  4. Step 4: Simplify right side
    411,821x = 131,016,984,754.72
  5. Step 5: Solve for x
    x = 131,016,984,754.72/411,821
  6. Step 6: Final answer
    x = 318,140.61

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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.