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Finding the Fourth Proportional to 392,914.78, 542,287.62 and 231,809.41

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Solution

The fourth proportional to 392,914.78, 542,287.62 and 231,809.41 is: 319,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,914.78 : 542,287.62 = 231,809.41 : x
  2. Step 2: Convert to fraction form
    392,914.78/542,287.62 = 231,809.41/x
  3. Step 3: Cross multiply
    392,914.78x = 542,287.62 × 231,809.41
  4. Step 4: Simplify right side
    392,914.78x = 125,707,373,242.50
  5. Step 5: Solve for x
    x = 125,707,373,242.50/392,914.78
  6. Step 6: Final answer
    x = 319,935.47

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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.