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Finding the Fourth Proportional to 326,843.82, 490,139.37 and 127,137.24

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Solution

The fourth proportional to 326,843.82, 490,139.37 and 127,137.24 is: 190,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,843.82 : 490,139.37 = 127,137.24 : x
  2. Step 2: Convert to fraction form
    326,843.82/490,139.37 = 127,137.24/x
  3. Step 3: Cross multiply
    326,843.82x = 490,139.37 × 127,137.24
  4. Step 4: Simplify right side
    326,843.82x = 62,314,966,717.14
  5. Step 5: Solve for x
    x = 62,314,966,717.14/326,843.82
  6. Step 6: Final answer
    x = 190,656.71

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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.