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Finding the Fourth Proportional to 392,994.48, 542,308.56 and 231,900

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Solution

The fourth proportional to 392,994.48, 542,308.56 and 231,900 is: 320,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,994.48 : 542,308.56 = 231,900 : x
  2. Step 2: Convert to fraction form
    392,994.48/542,308.56 = 231,900/x
  3. Step 3: Cross multiply
    392,994.48x = 542,308.56 × 231,900
  4. Step 4: Simplify right side
    392,994.48x = 125,761,355,064.00
  5. Step 5: Solve for x
    x = 125,761,355,064.00/392,994.48
  6. Step 6: Final answer
    x = 320,007.94

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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.