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Finding the Fourth Proportional to 323,067.60, 445,830 and 177,868.80

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Solution

The fourth proportional to 323,067.60, 445,830 and 177,868.80 is: 245,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,067.60 : 445,830 = 177,868.80 : x
  2. Step 2: Convert to fraction form
    323,067.60/445,830 = 177,868.80/x
  3. Step 3: Cross multiply
    323,067.60x = 445,830 × 177,868.80
  4. Step 4: Simplify right side
    323,067.60x = 79,299,247,104
  5. Step 5: Solve for x
    x = 79,299,247,104/323,067.60
  6. Step 6: Final answer
    x = 245,457.13

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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.