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Finding the Fourth Proportional to 399,249.54, 598,375.98 and 199,627.02

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Solution

The fourth proportional to 399,249.54, 598,375.98 and 199,627.02 is: 299,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,249.54 : 598,375.98 = 199,627.02 : x
  2. Step 2: Convert to fraction form
    399,249.54/598,375.98 = 199,627.02/x
  3. Step 3: Cross multiply
    399,249.54x = 598,375.98 × 199,627.02
  4. Step 4: Simplify right side
    399,249.54x = 119,452,013,726.98
  5. Step 5: Solve for x
    x = 119,452,013,726.98/399,249.54
  6. Step 6: Final answer
    x = 299,191.36

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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.