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Finding the Fourth Proportional to 324,125.31, 486,239.81 and 137,138.43

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Solution

The fourth proportional to 324,125.31, 486,239.81 and 137,138.43 is: 205,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,125.31 : 486,239.81 = 137,138.43 : x
  2. Step 2: Convert to fraction form
    324,125.31/486,239.81 = 137,138.43/x
  3. Step 3: Cross multiply
    324,125.31x = 486,239.81 × 137,138.43
  4. Step 4: Simplify right side
    324,125.31x = 66,682,163,461.21
  5. Step 5: Solve for x
    x = 66,682,163,461.21/324,125.31
  6. Step 6: Final answer
    x = 205,729.58

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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.