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Finding the Fourth Proportional to 299,893.54, 449,693.43 and 100,145.38

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Solution

The fourth proportional to 299,893.54, 449,693.43 and 100,145.38 is: 150,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,893.54 : 449,693.43 = 100,145.38 : x
  2. Step 2: Convert to fraction form
    299,893.54/449,693.43 = 100,145.38/x
  3. Step 3: Cross multiply
    299,893.54x = 449,693.43 × 100,145.38
  4. Step 4: Simplify right side
    299,893.54x = 45,034,719,430.85
  5. Step 5: Solve for x
    x = 45,034,719,430.85/299,893.54
  6. Step 6: Final answer
    x = 150,169.02

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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.