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Finding the Fourth Proportional to 392,958, 542,286.36 and 214,110

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Solution

The fourth proportional to 392,958, 542,286.36 and 214,110 is: 295,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,958 : 542,286.36 = 214,110 : x
  2. Step 2: Convert to fraction form
    392,958/542,286.36 = 214,110/x
  3. Step 3: Cross multiply
    392,958x = 542,286.36 × 214,110
  4. Step 4: Simplify right side
    392,958x = 116,108,932,539.60
  5. Step 5: Solve for x
    x = 116,108,932,539.60/392,958
  6. Step 6: Final answer
    x = 295,474.15

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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.