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Finding the Fourth Proportional to 412,012.71, 618,418.51 and 198,930.89

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Solution

The fourth proportional to 412,012.71, 618,418.51 and 198,930.89 is: 298,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,012.71 : 618,418.51 = 198,930.89 : x
  2. Step 2: Convert to fraction form
    412,012.71/618,418.51 = 198,930.89/x
  3. Step 3: Cross multiply
    412,012.71x = 618,418.51 × 198,930.89
  4. Step 4: Simplify right side
    412,012.71x = 123,022,545,635.49
  5. Step 5: Solve for x
    x = 123,022,545,635.49/412,012.71
  6. Step 6: Final answer
    x = 298,589.20

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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.