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Finding the Fourth Proportional to 323,389.86, 443,046.26 and 311,268.94

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Solution

The fourth proportional to 323,389.86, 443,046.26 and 311,268.94 is: 426,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,389.86 : 443,046.26 = 311,268.94 : x
  2. Step 2: Convert to fraction form
    323,389.86/443,046.26 = 311,268.94/x
  3. Step 3: Cross multiply
    323,389.86x = 443,046.26 × 311,268.94
  4. Step 4: Simplify right side
    323,389.86x = 137,906,539,721.16
  5. Step 5: Solve for x
    x = 137,906,539,721.16/323,389.86
  6. Step 6: Final answer
    x = 426,440.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.