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Finding the Fourth Proportional to 635,165, 952,995.90 and 279,929.24

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Solution

The fourth proportional to 635,165, 952,995.90 and 279,929.24 is: 420,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,165 : 952,995.90 = 279,929.24 : x
  2. Step 2: Convert to fraction form
    635,165/952,995.90 = 279,929.24/x
  3. Step 3: Cross multiply
    635,165x = 952,995.90 × 279,929.24
  4. Step 4: Simplify right side
    635,165x = 266,771,418,010.12
  5. Step 5: Solve for x
    x = 266,771,418,010.12/635,165
  6. Step 6: Final answer
    x = 420,003.33

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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.