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Finding the Fourth Proportional to 300,819.88, 415,126.38 and 179,892.42

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Solution

The fourth proportional to 300,819.88, 415,126.38 and 179,892.42 is: 248,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,819.88 : 415,126.38 = 179,892.42 : x
  2. Step 2: Convert to fraction form
    300,819.88/415,126.38 = 179,892.42/x
  3. Step 3: Cross multiply
    300,819.88x = 415,126.38 × 179,892.42
  4. Step 4: Simplify right side
    300,819.88x = 74,678,089,104.04
  5. Step 5: Solve for x
    x = 74,678,089,104.04/300,819.88
  6. Step 6: Final answer
    x = 248,248.52

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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.