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Finding the Fourth Proportional to 392,379, 541,483.02 and 213,531

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Solution

The fourth proportional to 392,379, 541,483.02 and 213,531 is: 294,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,379 : 541,483.02 = 213,531 : x
  2. Step 2: Convert to fraction form
    392,379/541,483.02 = 213,531/x
  3. Step 3: Cross multiply
    392,379x = 541,483.02 × 213,531
  4. Step 4: Simplify right side
    392,379x = 115,623,410,743.62
  5. Step 5: Solve for x
    x = 115,623,410,743.62/392,379
  6. Step 6: Final answer
    x = 294,672.78

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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.