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Finding the Fourth Proportional to 392,749.52, 541,994.32 and 213,901.52

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Solution

The fourth proportional to 392,749.52, 541,994.32 and 213,901.52 is: 295,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,749.52 : 541,994.32 = 213,901.52 : x
  2. Step 2: Convert to fraction form
    392,749.52/541,994.32 = 213,901.52/x
  3. Step 3: Cross multiply
    392,749.52x = 541,994.32 × 213,901.52
  4. Step 4: Simplify right side
    392,749.52x = 115,933,408,879.37
  5. Step 5: Solve for x
    x = 115,933,408,879.37/392,749.52
  6. Step 6: Final answer
    x = 295,184.09

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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.