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Finding the Fourth Proportional to 299,250, 412,965 and 165,114

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Solution

The fourth proportional to 299,250, 412,965 and 165,114 is: 227,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,250 : 412,965 = 165,114 : x
  2. Step 2: Convert to fraction form
    299,250/412,965 = 165,114/x
  3. Step 3: Cross multiply
    299,250x = 412,965 × 165,114
  4. Step 4: Simplify right side
    299,250x = 68,186,303,010
  5. Step 5: Solve for x
    x = 68,186,303,010/299,250
  6. Step 6: Final answer
    x = 227,857.32

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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.