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Finding the Fourth Proportional to 270,198.36, 405,296.90 and 253,756.90

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Solution

The fourth proportional to 270,198.36, 405,296.90 and 253,756.90 is: 380,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198.36 : 405,296.90 = 253,756.90 : x
  2. Step 2: Convert to fraction form
    270,198.36/405,296.90 = 253,756.90/x
  3. Step 3: Cross multiply
    270,198.36x = 405,296.90 × 253,756.90
  4. Step 4: Simplify right side
    270,198.36x = 102,846,884,923.61
  5. Step 5: Solve for x
    x = 102,846,884,923.61/270,198.36
  6. Step 6: Final answer
    x = 380,634.75

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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.