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Finding the Fourth Proportional to 408,408.48, 612,645.12 and 127,924.92

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Solution

The fourth proportional to 408,408.48, 612,645.12 and 127,924.92 is: 191,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,408.48 : 612,645.12 = 127,924.92 : x
  2. Step 2: Convert to fraction form
    408,408.48/612,645.12 = 127,924.92/x
  3. Step 3: Cross multiply
    408,408.48x = 612,645.12 × 127,924.92
  4. Step 4: Simplify right side
    408,408.48x = 78,372,577,964.39
  5. Step 5: Solve for x
    x = 78,372,577,964.39/408,408.48
  6. Step 6: Final answer
    x = 191,897.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.