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Finding the Fourth Proportional to 392,856.50, 542,141.97 and 214,008.50

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Solution

The fourth proportional to 392,856.50, 542,141.97 and 214,008.50 is: 295,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,856.50 : 542,141.97 = 214,008.50 : x
  2. Step 2: Convert to fraction form
    392,856.50/542,141.97 = 214,008.50/x
  3. Step 3: Cross multiply
    392,856.50x = 542,141.97 × 214,008.50
  4. Step 4: Simplify right side
    392,856.50x = 116,022,989,786.75
  5. Step 5: Solve for x
    x = 116,022,989,786.75/392,856.50
  6. Step 6: Final answer
    x = 295,331.73

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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.