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Finding the Fourth Proportional to 423,755.55, 635,301 and 199,000.31

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Solution

The fourth proportional to 423,755.55, 635,301 and 199,000.31 is: 298,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,755.55 : 635,301 = 199,000.31 : x
  2. Step 2: Convert to fraction form
    423,755.55/635,301 = 199,000.31/x
  3. Step 3: Cross multiply
    423,755.55x = 635,301 × 199,000.31
  4. Step 4: Simplify right side
    423,755.55x = 126,425,092,766.81
  5. Step 5: Solve for x
    x = 126,425,092,766.81/423,755.55
  6. Step 6: Final answer
    x = 298,344.39

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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.