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Finding the Fourth Proportional to 392,827, 542,101.26 and 213,979

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Solution

The fourth proportional to 392,827, 542,101.26 and 213,979 is: 295,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,827 : 542,101.26 = 213,979 : x
  2. Step 2: Convert to fraction form
    392,827/542,101.26 = 213,979/x
  3. Step 3: Cross multiply
    392,827x = 542,101.26 × 213,979
  4. Step 4: Simplify right side
    392,827x = 115,998,285,513.54
  5. Step 5: Solve for x
    x = 115,998,285,513.54/392,827
  6. Step 6: Final answer
    x = 295,291.02

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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.