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Finding the Fourth Proportional to 490,067.47, 735,120.24 and 135,109.27

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Solution

The fourth proportional to 490,067.47, 735,120.24 and 135,109.27 is: 202,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,067.47 : 735,120.24 = 135,109.27 : x
  2. Step 2: Convert to fraction form
    490,067.47/735,120.24 = 135,109.27/x
  3. Step 3: Cross multiply
    490,067.47x = 735,120.24 × 135,109.27
  4. Step 4: Simplify right side
    490,067.47x = 99,321,558,988.62
  5. Step 5: Solve for x
    x = 99,321,558,988.62/490,067.47
  6. Step 6: Final answer
    x = 202,669.15

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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.