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Finding the Fourth Proportional to 221,386.80, 331,691.40 and 181,729.20

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Solution

The fourth proportional to 221,386.80, 331,691.40 and 181,729.20 is: 272,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,386.80 : 331,691.40 = 181,729.20 : x
  2. Step 2: Convert to fraction form
    221,386.80/331,691.40 = 181,729.20/x
  3. Step 3: Cross multiply
    221,386.80x = 331,691.40 × 181,729.20
  4. Step 4: Simplify right side
    221,386.80x = 60,278,012,768.88
  5. Step 5: Solve for x
    x = 60,278,012,768.88/221,386.80
  6. Step 6: Final answer
    x = 272,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.