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Finding the Fourth Proportional to 198,492, 297,738 and 50,748

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Solution

The fourth proportional to 198,492, 297,738 and 50,748 is: 76,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492 : 297,738 = 50,748 : x
  2. Step 2: Convert to fraction form
    198,492/297,738 = 50,748/x
  3. Step 3: Cross multiply
    198,492x = 297,738 × 50,748
  4. Step 4: Simplify right side
    198,492x = 15,109,608,024
  5. Step 5: Solve for x
    x = 15,109,608,024/198,492
  6. Step 6: Final answer
    x = 76,122

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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.