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Finding the Fourth Proportional to 491,373.98, 737,018.49 and 299,198.78

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Solution

The fourth proportional to 491,373.98, 737,018.49 and 299,198.78 is: 448,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,373.98 : 737,018.49 = 299,198.78 : x
  2. Step 2: Convert to fraction form
    491,373.98/737,018.49 = 299,198.78/x
  3. Step 3: Cross multiply
    491,373.98x = 737,018.49 × 299,198.78
  4. Step 4: Simplify right side
    491,373.98x = 220,515,033,045.44
  5. Step 5: Solve for x
    x = 220,515,033,045.44/491,373.98
  6. Step 6: Final answer
    x = 448,772.30

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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.