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Finding the Fourth Proportional to 321,617.89, 482,359.11 and 207,423.64

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Solution

The fourth proportional to 321,617.89, 482,359.11 and 207,423.64 is: 311,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,617.89 : 482,359.11 = 207,423.64 : x
  2. Step 2: Convert to fraction form
    321,617.89/482,359.11 = 207,423.64/x
  3. Step 3: Cross multiply
    321,617.89x = 482,359.11 × 207,423.64
  4. Step 4: Simplify right side
    321,617.89x = 100,052,682,383.36
  5. Step 5: Solve for x
    x = 100,052,682,383.36/321,617.89
  6. Step 6: Final answer
    x = 311,091.78

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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.