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Finding the Fourth Proportional to 300,730.29, 415,007.79 and 164,769.39

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Solution

The fourth proportional to 300,730.29, 415,007.79 and 164,769.39 is: 227,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,730.29 : 415,007.79 = 164,769.39 : x
  2. Step 2: Convert to fraction form
    300,730.29/415,007.79 = 164,769.39/x
  3. Step 3: Cross multiply
    300,730.29x = 415,007.79 × 164,769.39
  4. Step 4: Simplify right side
    300,730.29x = 68,380,580,403.55
  5. Step 5: Solve for x
    x = 68,380,580,403.55/300,730.29
  6. Step 6: Final answer
    x = 227,381.75

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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.