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Finding the Fourth Proportional to 299,702, 413,590.20 and 172,385.12

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Solution

The fourth proportional to 299,702, 413,590.20 and 172,385.12 is: 237,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702 : 413,590.20 = 172,385.12 : x
  2. Step 2: Convert to fraction form
    299,702/413,590.20 = 172,385.12/x
  3. Step 3: Cross multiply
    299,702x = 413,590.20 × 172,385.12
  4. Step 4: Simplify right side
    299,702x = 71,296,796,257.82
  5. Step 5: Solve for x
    x = 71,296,796,257.82/299,702
  6. Step 6: Final answer
    x = 237,892.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.