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Finding the Fourth Proportional to 392,961.25, 542,286.53 and 214,113.25

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Solution

The fourth proportional to 392,961.25, 542,286.53 and 214,113.25 is: 295,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,961.25 : 542,286.53 = 214,113.25 : x
  2. Step 2: Convert to fraction form
    392,961.25/542,286.53 = 214,113.25/x
  3. Step 3: Cross multiply
    392,961.25x = 542,286.53 × 214,113.25
  4. Step 4: Simplify right side
    392,961.25x = 116,110,731,369.52
  5. Step 5: Solve for x
    x = 116,110,731,369.52/392,961.25
  6. Step 6: Final answer
    x = 295,476.29

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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.