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Finding the Fourth Proportional to 323,105.45, 484,833.15 and 311,324.81

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Solution

The fourth proportional to 323,105.45, 484,833.15 and 311,324.81 is: 467,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,105.45 : 484,833.15 = 311,324.81 : x
  2. Step 2: Convert to fraction form
    323,105.45/484,833.15 = 311,324.81/x
  3. Step 3: Cross multiply
    323,105.45x = 484,833.15 × 311,324.81
  4. Step 4: Simplify right side
    323,105.45x = 150,940,585,881.29
  5. Step 5: Solve for x
    x = 150,940,585,881.29/323,105.45
  6. Step 6: Final answer
    x = 467,155.81

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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.