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Finding the Fourth Proportional to 323,212.78, 446,029.39 and 178,015.78

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Solution

The fourth proportional to 323,212.78, 446,029.39 and 178,015.78 is: 245,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,212.78 : 446,029.39 = 178,015.78 : x
  2. Step 2: Convert to fraction form
    323,212.78/446,029.39 = 178,015.78/x
  3. Step 3: Cross multiply
    323,212.78x = 446,029.39 × 178,015.78
  4. Step 4: Simplify right side
    323,212.78x = 79,400,267,033.58
  5. Step 5: Solve for x
    x = 79,400,267,033.58/323,212.78
  6. Step 6: Final answer
    x = 245,659.43

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1.5x scale

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.