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Finding the Fourth Proportional to 392,827.50, 542,076.44 and 231,645.60

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Solution

The fourth proportional to 392,827.50, 542,076.44 and 231,645.60 is: 319,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,827.50 : 542,076.44 = 231,645.60 : x
  2. Step 2: Convert to fraction form
    392,827.50/542,076.44 = 231,645.60/x
  3. Step 3: Cross multiply
    392,827.50x = 542,076.44 × 231,645.60
  4. Step 4: Simplify right side
    392,827.50x = 125,569,621,031.44
  5. Step 5: Solve for x
    x = 125,569,621,031.44/392,827.50
  6. Step 6: Final answer
    x = 319,655.88

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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.