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Finding the Fourth Proportional to 423,573.86, 635,174.22 and 198,998.12

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Solution

The fourth proportional to 423,573.86, 635,174.22 and 198,998.12 is: 298,409.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,573.86 : 635,174.22 = 198,998.12 : x
  2. Step 2: Convert to fraction form
    423,573.86/635,174.22 = 198,998.12/x
  3. Step 3: Cross multiply
    423,573.86x = 635,174.22 × 198,998.12
  4. Step 4: Simplify right side
    423,573.86x = 126,398,475,652.47
  5. Step 5: Solve for x
    x = 126,398,475,652.47/423,573.86
  6. Step 6: Final answer
    x = 298,409.53

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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.