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Finding the Fourth Proportional to 423,549.82, 635,138.22 and 198,974.08

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Solution

The fourth proportional to 423,549.82, 635,138.22 and 198,974.08 is: 298,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,549.82 : 635,138.22 = 198,974.08 : x
  2. Step 2: Convert to fraction form
    423,549.82/635,138.22 = 198,974.08/x
  3. Step 3: Cross multiply
    423,549.82x = 635,138.22 × 198,974.08
  4. Step 4: Simplify right side
    423,549.82x = 126,376,039,821.65
  5. Step 5: Solve for x
    x = 126,376,039,821.65/423,549.82
  6. Step 6: Final answer
    x = 298,373.50

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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.