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Finding the Fourth Proportional to 199,244.40, 298,672.20 and 178,249.20

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Solution

The fourth proportional to 199,244.40, 298,672.20 and 178,249.20 is: 267,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,244.40 : 298,672.20 = 178,249.20 : x
  2. Step 2: Convert to fraction form
    199,244.40/298,672.20 = 178,249.20/x
  3. Step 3: Cross multiply
    199,244.40x = 298,672.20 × 178,249.20
  4. Step 4: Simplify right side
    199,244.40x = 53,238,080,712.24
  5. Step 5: Solve for x
    x = 53,238,080,712.24/199,244.40
  6. Step 6: Final answer
    x = 267,199.88

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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.