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Finding the Fourth Proportional to 270,043.99, 405,320.22 and 137,019.71

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Solution

The fourth proportional to 270,043.99, 405,320.22 and 137,019.71 is: 205,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,043.99 : 405,320.22 = 137,019.71 : x
  2. Step 2: Convert to fraction form
    270,043.99/405,320.22 = 137,019.71/x
  3. Step 3: Cross multiply
    270,043.99x = 405,320.22 × 137,019.71
  4. Step 4: Simplify right side
    270,043.99x = 55,536,858,316.44
  5. Step 5: Solve for x
    x = 55,536,858,316.44/270,043.99
  6. Step 6: Final answer
    x = 205,658.56

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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.