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Finding the Fourth Proportional to 404,198.70, 606,384.45 and 123,744.30

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Solution

The fourth proportional to 404,198.70, 606,384.45 and 123,744.30 is: 185,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,198.70 : 606,384.45 = 123,744.30 : x
  2. Step 2: Convert to fraction form
    404,198.70/606,384.45 = 123,744.30/x
  3. Step 3: Cross multiply
    404,198.70x = 606,384.45 × 123,744.30
  4. Step 4: Simplify right side
    404,198.70x = 75,036,619,296.14
  5. Step 5: Solve for x
    x = 75,036,619,296.14/404,198.70
  6. Step 6: Final answer
    x = 185,642.90

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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.