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Finding the Fourth Proportional to 392,782.62, 542,015.91 and 231,644.46

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Solution

The fourth proportional to 392,782.62, 542,015.91 and 231,644.46 is: 319,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,782.62 : 542,015.91 = 231,644.46 : x
  2. Step 2: Convert to fraction form
    392,782.62/542,015.91 = 231,644.46/x
  3. Step 3: Cross multiply
    392,782.62x = 542,015.91 × 231,644.46
  4. Step 4: Simplify right side
    392,782.62x = 125,554,982,783.36
  5. Step 5: Solve for x
    x = 125,554,982,783.36/392,782.62
  6. Step 6: Final answer
    x = 319,655.14

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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.