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Finding the Fourth Proportional to 299,191, 412,874.10 and 170,143.50

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Solution

The fourth proportional to 299,191, 412,874.10 and 170,143.50 is: 234,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,191 : 412,874.10 = 170,143.50 : x
  2. Step 2: Convert to fraction form
    299,191/412,874.10 = 170,143.50/x
  3. Step 3: Cross multiply
    299,191x = 412,874.10 × 170,143.50
  4. Step 4: Simplify right side
    299,191x = 70,247,844,433.35
  5. Step 5: Solve for x
    x = 70,247,844,433.35/299,191
  6. Step 6: Final answer
    x = 234,792.64

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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.