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Finding the Fourth Proportional to 424,279.63, 635,999.05 and 199,237.21

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Solution

The fourth proportional to 424,279.63, 635,999.05 and 199,237.21 is: 298,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,279.63 : 635,999.05 = 199,237.21 : x
  2. Step 2: Convert to fraction form
    424,279.63/635,999.05 = 199,237.21/x
  3. Step 3: Cross multiply
    424,279.63x = 635,999.05 × 199,237.21
  4. Step 4: Simplify right side
    424,279.63x = 126,714,677,400.49
  5. Step 5: Solve for x
    x = 126,714,677,400.49/424,279.63
  6. Step 6: Final answer
    x = 298,658.41

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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.