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Finding the Fourth Proportional to 299,310.78, 413,201.25 and 231,174.80

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Solution

The fourth proportional to 299,310.78, 413,201.25 and 231,174.80 is: 319,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310.78 : 413,201.25 = 231,174.80 : x
  2. Step 2: Convert to fraction form
    299,310.78/413,201.25 = 231,174.80/x
  3. Step 3: Cross multiply
    299,310.78x = 413,201.25 × 231,174.80
  4. Step 4: Simplify right side
    299,310.78x = 95,521,714,262.49
  5. Step 5: Solve for x
    x = 95,521,714,262.49/299,310.78
  6. Step 6: Final answer
    x = 319,138.90

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1.5x scale

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.