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Finding the Fourth Proportional to 445,144.74, 667,747.89 and 178,905.48

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Solution

The fourth proportional to 445,144.74, 667,747.89 and 178,905.48 is: 268,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,144.74 : 667,747.89 = 178,905.48 : x
  2. Step 2: Convert to fraction form
    445,144.74/667,747.89 = 178,905.48/x
  3. Step 3: Cross multiply
    445,144.74x = 667,747.89 × 178,905.48
  4. Step 4: Simplify right side
    445,144.74x = 119,463,756,779.44
  5. Step 5: Solve for x
    x = 119,463,756,779.44/445,144.74
  6. Step 6: Final answer
    x = 268,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.