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Finding the Fourth Proportional to 392,212.48, 587,909.12 and 192,256

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Solution

The fourth proportional to 392,212.48, 587,909.12 and 192,256 is: 288,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,212.48 : 587,909.12 = 192,256 : x
  2. Step 2: Convert to fraction form
    392,212.48/587,909.12 = 192,256/x
  3. Step 3: Cross multiply
    392,212.48x = 587,909.12 × 192,256
  4. Step 4: Simplify right side
    392,212.48x = 113,029,055,774.72
  5. Step 5: Solve for x
    x = 113,029,055,774.72/392,212.48
  6. Step 6: Final answer
    x = 288,183.22

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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.