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Finding the Fourth Proportional to 321,056.78, 443,058.44 and 175,863.22

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Solution

The fourth proportional to 321,056.78, 443,058.44 and 175,863.22 is: 242,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,056.78 : 443,058.44 = 175,863.22 : x
  2. Step 2: Convert to fraction form
    321,056.78/443,058.44 = 175,863.22/x
  3. Step 3: Cross multiply
    321,056.78x = 443,058.44 × 175,863.22
  4. Step 4: Simplify right side
    321,056.78x = 77,917,683,906.58
  5. Step 5: Solve for x
    x = 77,917,683,906.58/321,056.78
  6. Step 6: Final answer
    x = 242,691.29

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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.