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Finding the Fourth Proportional to 342,180, 472,199.76 and 191,278.08

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Solution

The fourth proportional to 342,180, 472,199.76 and 191,278.08 is: 263,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,180 : 472,199.76 = 191,278.08 : x
  2. Step 2: Convert to fraction form
    342,180/472,199.76 = 191,278.08/x
  3. Step 3: Cross multiply
    342,180x = 472,199.76 × 191,278.08
  4. Step 4: Simplify right side
    342,180x = 90,321,463,469.26
  5. Step 5: Solve for x
    x = 90,321,463,469.26/342,180
  6. Step 6: Final answer
    x = 263,958.92

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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.