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Finding the Fourth Proportional to 285,512.88, 428,136.36 and 127,742.64

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Solution

The fourth proportional to 285,512.88, 428,136.36 and 127,742.64 is: 191,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,512.88 : 428,136.36 = 127,742.64 : x
  2. Step 2: Convert to fraction form
    285,512.88/428,136.36 = 127,742.64/x
  3. Step 3: Cross multiply
    285,512.88x = 428,136.36 × 127,742.64
  4. Step 4: Simplify right side
    285,512.88x = 54,691,268,906.39
  5. Step 5: Solve for x
    x = 54,691,268,906.39/285,512.88
  6. Step 6: Final answer
    x = 191,554.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.