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Finding the Fourth Proportional to 491,371.98, 737,015.49 and 299,196.78

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Solution

The fourth proportional to 491,371.98, 737,015.49 and 299,196.78 is: 448,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,371.98 : 737,015.49 = 299,196.78 : x
  2. Step 2: Convert to fraction form
    491,371.98/737,015.49 = 299,196.78/x
  3. Step 3: Cross multiply
    491,371.98x = 737,015.49 × 299,196.78
  4. Step 4: Simplify right side
    491,371.98x = 220,512,661,418.12
  5. Step 5: Solve for x
    x = 220,512,661,418.12/491,371.98
  6. Step 6: Final answer
    x = 448,769.30

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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.