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Finding the Fourth Proportional to 491,819.40, 737,729.10 and 323,857.80

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Solution

The fourth proportional to 491,819.40, 737,729.10 and 323,857.80 is: 485,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,819.40 : 737,729.10 = 323,857.80 : x
  2. Step 2: Convert to fraction form
    491,819.40/737,729.10 = 323,857.80/x
  3. Step 3: Cross multiply
    491,819.40x = 737,729.10 × 323,857.80
  4. Step 4: Simplify right side
    491,819.40x = 238,919,323,321.98
  5. Step 5: Solve for x
    x = 238,919,323,321.98/491,819.40
  6. Step 6: Final answer
    x = 485,786.70

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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.