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Finding the Fourth Proportional to 409,099.38, 612,812.49 and 333,467.46

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Solution

The fourth proportional to 409,099.38, 612,812.49 and 333,467.46 is: 499,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,099.38 : 612,812.49 = 333,467.46 : x
  2. Step 2: Convert to fraction form
    409,099.38/612,812.49 = 333,467.46/x
  3. Step 3: Cross multiply
    409,099.38x = 612,812.49 × 333,467.46
  4. Step 4: Simplify right side
    409,099.38x = 204,353,024,496.58
  5. Step 5: Solve for x
    x = 204,353,024,496.58/409,099.38
  6. Step 6: Final answer
    x = 499,519.27

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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.