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Finding the Fourth Proportional to 303,916.80, 419,404.80 and 169,780.80

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Solution

The fourth proportional to 303,916.80, 419,404.80 and 169,780.80 is: 234,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,916.80 : 419,404.80 = 169,780.80 : x
  2. Step 2: Convert to fraction form
    303,916.80/419,404.80 = 169,780.80/x
  3. Step 3: Cross multiply
    303,916.80x = 419,404.80 × 169,780.80
  4. Step 4: Simplify right side
    303,916.80x = 71,206,882,467.84
  5. Step 5: Solve for x
    x = 71,206,882,467.84/303,916.80
  6. Step 6: Final answer
    x = 234,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.