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Finding the Fourth Proportional to 299,254, 412,979.20 and 165,126.64

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Solution

The fourth proportional to 299,254, 412,979.20 and 165,126.64 is: 227,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,254 : 412,979.20 = 165,126.64 : x
  2. Step 2: Convert to fraction form
    299,254/412,979.20 = 165,126.64/x
  3. Step 3: Cross multiply
    299,254x = 412,979.20 × 165,126.64
  4. Step 4: Simplify right side
    299,254x = 68,193,867,685.89
  5. Step 5: Solve for x
    x = 68,193,867,685.89/299,254
  6. Step 6: Final answer
    x = 227,879.55

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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.