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Finding the Fourth Proportional to 411,257.22, 616,885.80 and 231,354.60

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Solution

The fourth proportional to 411,257.22, 616,885.80 and 231,354.60 is: 347,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,257.22 : 616,885.80 = 231,354.60 : x
  2. Step 2: Convert to fraction form
    411,257.22/616,885.80 = 231,354.60/x
  3. Step 3: Cross multiply
    411,257.22x = 616,885.80 × 231,354.60
  4. Step 4: Simplify right side
    411,257.22x = 142,719,367,504.68
  5. Step 5: Solve for x
    x = 142,719,367,504.68/411,257.22
  6. Step 6: Final answer
    x = 347,031.88

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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.