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Finding the Fourth Proportional to 635,242.88, 952,858.56 and 280,257.20

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Solution

The fourth proportional to 635,242.88, 952,858.56 and 280,257.20 is: 420,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,242.88 : 952,858.56 = 280,257.20 : x
  2. Step 2: Convert to fraction form
    635,242.88/952,858.56 = 280,257.20/x
  3. Step 3: Cross multiply
    635,242.88x = 952,858.56 × 280,257.20
  4. Step 4: Simplify right side
    635,242.88x = 267,045,472,021.63
  5. Step 5: Solve for x
    x = 267,045,472,021.63/635,242.88
  6. Step 6: Final answer
    x = 420,383.26

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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.