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Finding the Fourth Proportional to 392,272.60, 588,117.30 and 214,979.80

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Solution

The fourth proportional to 392,272.60, 588,117.30 and 214,979.80 is: 322,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272.60 : 588,117.30 = 214,979.80 : x
  2. Step 2: Convert to fraction form
    392,272.60/588,117.30 = 214,979.80/x
  3. Step 3: Cross multiply
    392,272.60x = 588,117.30 × 214,979.80
  4. Step 4: Simplify right side
    392,272.60x = 126,433,339,530.54
  5. Step 5: Solve for x
    x = 126,433,339,530.54/392,272.60
  6. Step 6: Final answer
    x = 322,309.89

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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.