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Finding the Fourth Proportional to 323,390.36, 443,046.95 and 311,269.44

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Solution

The fourth proportional to 323,390.36, 443,046.95 and 311,269.44 is: 426,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,390.36 : 443,046.95 = 311,269.44 : x
  2. Step 2: Convert to fraction form
    323,390.36/443,046.95 = 311,269.44/x
  3. Step 3: Cross multiply
    323,390.36x = 443,046.95 × 311,269.44
  4. Step 4: Simplify right side
    323,390.36x = 137,906,974,463.86
  5. Step 5: Solve for x
    x = 137,906,974,463.86/323,390.36
  6. Step 6: Final answer
    x = 426,441.20

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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.