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Finding the Fourth Proportional to 219,067.20, 328,600.80 and 194,572.80

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Solution

The fourth proportional to 219,067.20, 328,600.80 and 194,572.80 is: 291,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067.20 : 328,600.80 = 194,572.80 : x
  2. Step 2: Convert to fraction form
    219,067.20/328,600.80 = 194,572.80/x
  3. Step 3: Cross multiply
    219,067.20x = 328,600.80 × 194,572.80
  4. Step 4: Simplify right side
    219,067.20x = 63,936,777,738.24
  5. Step 5: Solve for x
    x = 63,936,777,738.24/219,067.20
  6. Step 6: Final answer
    x = 291,859.20

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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.