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Finding the Fourth Proportional to 256,494.58, 384,741.97 and 66,954.42

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Solution

The fourth proportional to 256,494.58, 384,741.97 and 66,954.42 is: 100,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,494.58 : 384,741.97 = 66,954.42 : x
  2. Step 2: Convert to fraction form
    256,494.58/384,741.97 = 66,954.42/x
  3. Step 3: Cross multiply
    256,494.58x = 384,741.97 × 66,954.42
  4. Step 4: Simplify right side
    256,494.58x = 25,760,175,283.62
  5. Step 5: Solve for x
    x = 25,760,175,283.62/256,494.58
  6. Step 6: Final answer
    x = 100,431.66

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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.