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Finding the Fourth Proportional to 423,553.98, 635,144.46 and 198,978.24

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Solution

The fourth proportional to 423,553.98, 635,144.46 and 198,978.24 is: 298,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,553.98 : 635,144.46 = 198,978.24 : x
  2. Step 2: Convert to fraction form
    423,553.98/635,144.46 = 198,978.24/x
  3. Step 3: Cross multiply
    423,553.98x = 635,144.46 × 198,978.24
  4. Step 4: Simplify right side
    423,553.98x = 126,379,926,796.55
  5. Step 5: Solve for x
    x = 126,379,926,796.55/423,553.98
  6. Step 6: Final answer
    x = 298,379.74

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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.