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Finding the Fourth Proportional to 392,715, 541,946.70 and 213,867

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Solution

The fourth proportional to 392,715, 541,946.70 and 213,867 is: 295,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,715 : 541,946.70 = 213,867 : x
  2. Step 2: Convert to fraction form
    392,715/541,946.70 = 213,867/x
  3. Step 3: Cross multiply
    392,715x = 541,946.70 × 213,867
  4. Step 4: Simplify right side
    392,715x = 115,904,514,888.90
  5. Step 5: Solve for x
    x = 115,904,514,888.90/392,715
  6. Step 6: Final answer
    x = 295,136.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.