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Finding the Fourth Proportional to 300,731.29, 415,009.17 and 164,770.39

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Solution

The fourth proportional to 300,731.29, 415,009.17 and 164,770.39 is: 227,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,731.29 : 415,009.17 = 164,770.39 : x
  2. Step 2: Convert to fraction form
    300,731.29/415,009.17 = 164,770.39/x
  3. Step 3: Cross multiply
    300,731.29x = 415,009.17 × 164,770.39
  4. Step 4: Simplify right side
    300,731.29x = 68,381,222,794.48
  5. Step 5: Solve for x
    x = 68,381,222,794.48/300,731.29
  6. Step 6: Final answer
    x = 227,383.13

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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.