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Finding the Fourth Proportional to 299,190, 412,872.73 and 170,142.50

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Solution

The fourth proportional to 299,190, 412,872.73 and 170,142.50 is: 234,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190 : 412,872.73 = 170,142.50 : x
  2. Step 2: Convert to fraction form
    299,190/412,872.73 = 170,142.50/x
  3. Step 3: Cross multiply
    299,190x = 412,872.73 × 170,142.50
  4. Step 4: Simplify right side
    299,190x = 70,247,195,548.95
  5. Step 5: Solve for x
    x = 70,247,195,548.95/299,190
  6. Step 6: Final answer
    x = 234,791.25

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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.