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Finding the Fourth Proportional to 324,843.40, 487,265.10 and 137,830.60

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Solution

The fourth proportional to 324,843.40, 487,265.10 and 137,830.60 is: 206,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,843.40 : 487,265.10 = 137,830.60 : x
  2. Step 2: Convert to fraction form
    324,843.40/487,265.10 = 137,830.60/x
  3. Step 3: Cross multiply
    324,843.40x = 487,265.10 × 137,830.60
  4. Step 4: Simplify right side
    324,843.40x = 67,160,041,092.06
  5. Step 5: Solve for x
    x = 67,160,041,092.06/324,843.40
  6. Step 6: Final answer
    x = 206,745.90

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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.