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Finding the Fourth Proportional to 392,788.44, 542,098.62 and 239,794.56

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Solution

The fourth proportional to 392,788.44, 542,098.62 and 239,794.56 is: 330,947.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,788.44 : 542,098.62 = 239,794.56 : x
  2. Step 2: Convert to fraction form
    392,788.44/542,098.62 = 239,794.56/x
  3. Step 3: Cross multiply
    392,788.44x = 542,098.62 × 239,794.56
  4. Step 4: Simplify right side
    392,788.44x = 129,992,300,059.51
  5. Step 5: Solve for x
    x = 129,992,300,059.51/392,788.44
  6. Step 6: Final answer
    x = 330,947.37

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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.