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Finding the Fourth Proportional to 392,500, 541,650 and 213,652

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Solution

The fourth proportional to 392,500, 541,650 and 213,652 is: 294,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,500 : 541,650 = 213,652 : x
  2. Step 2: Convert to fraction form
    392,500/541,650 = 213,652/x
  3. Step 3: Cross multiply
    392,500x = 541,650 × 213,652
  4. Step 4: Simplify right side
    392,500x = 115,724,605,800
  5. Step 5: Solve for x
    x = 115,724,605,800/392,500
  6. Step 6: Final answer
    x = 294,839.76

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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.