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Finding the Fourth Proportional to 423,265.47, 635,105.78 and 198,644.17

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Solution

The fourth proportional to 423,265.47, 635,105.78 and 198,644.17 is: 298,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,265.47 : 635,105.78 = 198,644.17 : x
  2. Step 2: Convert to fraction form
    423,265.47/635,105.78 = 198,644.17/x
  3. Step 3: Cross multiply
    423,265.47x = 635,105.78 × 198,644.17
  4. Step 4: Simplify right side
    423,265.47x = 126,160,061,026.91
  5. Step 5: Solve for x
    x = 126,160,061,026.91/423,265.47
  6. Step 6: Final answer
    x = 298,063.67

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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.