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Finding the Fourth Proportional to 299,976.82, 414,072.30 and 172,703.14

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Solution

The fourth proportional to 299,976.82, 414,072.30 and 172,703.14 is: 238,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,976.82 : 414,072.30 = 172,703.14 : x
  2. Step 2: Convert to fraction form
    299,976.82/414,072.30 = 172,703.14/x
  3. Step 3: Cross multiply
    299,976.82x = 414,072.30 × 172,703.14
  4. Step 4: Simplify right side
    299,976.82x = 71,511,586,397.02
  5. Step 5: Solve for x
    x = 71,511,586,397.02/299,976.82
  6. Step 6: Final answer
    x = 238,390.37

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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.