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Finding the Fourth Proportional to 198,997.40, 298,301.70 and 178,002.20

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Solution

The fourth proportional to 198,997.40, 298,301.70 and 178,002.20 is: 266,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,997.40 : 298,301.70 = 178,002.20 : x
  2. Step 2: Convert to fraction form
    198,997.40/298,301.70 = 178,002.20/x
  3. Step 3: Cross multiply
    198,997.40x = 298,301.70 × 178,002.20
  4. Step 4: Simplify right side
    198,997.40x = 53,098,358,863.74
  5. Step 5: Solve for x
    x = 53,098,358,863.74/198,997.40
  6. Step 6: Final answer
    x = 266,829.41

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1.5x scale

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.