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Finding the Fourth Proportional to 294,305, 406,112.82 and 165,213.96

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Solution

The fourth proportional to 294,305, 406,112.82 and 165,213.96 is: 227,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,305 : 406,112.82 = 165,213.96 : x
  2. Step 2: Convert to fraction form
    294,305/406,112.82 = 165,213.96/x
  3. Step 3: Cross multiply
    294,305x = 406,112.82 × 165,213.96
  4. Step 4: Simplify right side
    294,305x = 67,095,507,198.97
  5. Step 5: Solve for x
    x = 67,095,507,198.97/294,305
  6. Step 6: Final answer
    x = 227,979.50

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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.