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Finding the Fourth Proportional to 299,361.78, 413,109 and 178,440.75

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Solution

The fourth proportional to 299,361.78, 413,109 and 178,440.75 is: 246,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,361.78 : 413,109 = 178,440.75 : x
  2. Step 2: Convert to fraction form
    299,361.78/413,109 = 178,440.75/x
  3. Step 3: Cross multiply
    299,361.78x = 413,109 × 178,440.75
  4. Step 4: Simplify right side
    299,361.78x = 73,715,479,791.75
  5. Step 5: Solve for x
    x = 73,715,479,791.75/299,361.78
  6. Step 6: Final answer
    x = 246,242.12

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1.5x scale

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.