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Finding the Fourth Proportional to 392,743, 541,985.34 and 213,895

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Solution

The fourth proportional to 392,743, 541,985.34 and 213,895 is: 295,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,743 : 541,985.34 = 213,895 : x
  2. Step 2: Convert to fraction form
    392,743/541,985.34 = 213,895/x
  3. Step 3: Cross multiply
    392,743x = 541,985.34 × 213,895
  4. Step 4: Simplify right side
    392,743x = 115,927,954,299.30
  5. Step 5: Solve for x
    x = 115,927,954,299.30/392,743
  6. Step 6: Final answer
    x = 295,175.10

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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.