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Finding the Fourth Proportional to 324,868.96, 487,448.88 and 206,509.60

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Solution

The fourth proportional to 324,868.96, 487,448.88 and 206,509.60 is: 309,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,868.96 : 487,448.88 = 206,509.60 : x
  2. Step 2: Convert to fraction form
    324,868.96/487,448.88 = 206,509.60/x
  3. Step 3: Cross multiply
    324,868.96x = 487,448.88 × 206,509.60
  4. Step 4: Simplify right side
    324,868.96x = 100,662,873,229.25
  5. Step 5: Solve for x
    x = 100,662,873,229.25/324,868.96
  6. Step 6: Final answer
    x = 309,856.85

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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.