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Finding the Fourth Proportional to 423,554.49, 635,145.21 and 198,978.75

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Solution

The fourth proportional to 423,554.49, 635,145.21 and 198,978.75 is: 298,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,554.49 : 635,145.21 = 198,978.75 : x
  2. Step 2: Convert to fraction form
    423,554.49/635,145.21 = 198,978.75/x
  3. Step 3: Cross multiply
    423,554.49x = 635,145.21 × 198,978.75
  4. Step 4: Simplify right side
    423,554.49x = 126,380,399,954.29
  5. Step 5: Solve for x
    x = 126,380,399,954.29/423,554.49
  6. Step 6: Final answer
    x = 298,380.50

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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.