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Finding the Fourth Proportional to 342,205.76, 472,169.76 and 191,297.60

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Solution

The fourth proportional to 342,205.76, 472,169.76 and 191,297.60 is: 263,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,205.76 : 472,169.76 = 191,297.60 : x
  2. Step 2: Convert to fraction form
    342,205.76/472,169.76 = 191,297.60/x
  3. Step 3: Cross multiply
    342,205.76x = 472,169.76 × 191,297.60
  4. Step 4: Simplify right side
    342,205.76x = 90,324,941,880.58
  5. Step 5: Solve for x
    x = 90,324,941,880.58/342,205.76
  6. Step 6: Final answer
    x = 263,949.22

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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.