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Finding the Fourth Proportional to 342,450, 472,548.82 and 231,843.65

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Solution

The fourth proportional to 342,450, 472,548.82 and 231,843.65 is: 319,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,450 : 472,548.82 = 231,843.65 : x
  2. Step 2: Convert to fraction form
    342,450/472,548.82 = 231,843.65/x
  3. Step 3: Cross multiply
    342,450x = 472,548.82 × 231,843.65
  4. Step 4: Simplify right side
    342,450x = 109,557,443,231.99
  5. Step 5: Solve for x
    x = 109,557,443,231.99/342,450
  6. Step 6: Final answer
    x = 319,922.45

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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.