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Finding the Fourth Proportional to 375,781.92, 518,578.50 and 206,026.92

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Solution

The fourth proportional to 375,781.92, 518,578.50 and 206,026.92 is: 284,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,781.92 : 518,578.50 = 206,026.92 : x
  2. Step 2: Convert to fraction form
    375,781.92/518,578.50 = 206,026.92/x
  3. Step 3: Cross multiply
    375,781.92x = 518,578.50 × 206,026.92
  4. Step 4: Simplify right side
    375,781.92x = 106,841,131,133.22
  5. Step 5: Solve for x
    x = 106,841,131,133.22/375,781.92
  6. Step 6: Final answer
    x = 284,316.85

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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.