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Finding the Fourth Proportional to 491,730.20, 737,595.30 and 159,306.20

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Solution

The fourth proportional to 491,730.20, 737,595.30 and 159,306.20 is: 238,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,730.20 : 737,595.30 = 159,306.20 : x
  2. Step 2: Convert to fraction form
    491,730.20/737,595.30 = 159,306.20/x
  3. Step 3: Cross multiply
    491,730.20x = 737,595.30 × 159,306.20
  4. Step 4: Simplify right side
    491,730.20x = 117,503,504,380.86
  5. Step 5: Solve for x
    x = 117,503,504,380.86/491,730.20
  6. Step 6: Final answer
    x = 238,959.30

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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.