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Finding the Fourth Proportional to 299,793.96, 413,704.74 and 172,489.32

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Solution

The fourth proportional to 299,793.96, 413,704.74 and 172,489.32 is: 238,028.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793.96 : 413,704.74 = 172,489.32 : x
  2. Step 2: Convert to fraction form
    299,793.96/413,704.74 = 172,489.32/x
  3. Step 3: Cross multiply
    299,793.96x = 413,704.74 × 172,489.32
  4. Step 4: Simplify right side
    299,793.96x = 71,359,649,283.38
  5. Step 5: Solve for x
    x = 71,359,649,283.38/299,793.96
  6. Step 6: Final answer
    x = 238,028.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.