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Finding the Fourth Proportional to 299,247.25, 412,969.85 and 165,119.89

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Solution

The fourth proportional to 299,247.25, 412,969.85 and 165,119.89 is: 227,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,247.25 : 412,969.85 = 165,119.89 : x
  2. Step 2: Convert to fraction form
    299,247.25/412,969.85 = 165,119.89/x
  3. Step 3: Cross multiply
    299,247.25x = 412,969.85 × 165,119.89
  4. Step 4: Simplify right side
    299,247.25x = 68,189,536,205.32
  5. Step 5: Solve for x
    x = 68,189,536,205.32/299,247.25
  6. Step 6: Final answer
    x = 227,870.22

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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.