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Finding the Fourth Proportional to 379,058.25, 523,111.16 and 206,987.15

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Solution

The fourth proportional to 379,058.25, 523,111.16 and 206,987.15 is: 285,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,058.25 : 523,111.16 = 206,987.15 : x
  2. Step 2: Convert to fraction form
    379,058.25/523,111.16 = 206,987.15/x
  3. Step 3: Cross multiply
    379,058.25x = 523,111.16 × 206,987.15
  4. Step 4: Simplify right side
    379,058.25x = 108,277,288,141.59
  5. Step 5: Solve for x
    x = 108,277,288,141.59/379,058.25
  6. Step 6: Final answer
    x = 285,648.15

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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.