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Finding the Fourth Proportional to 289,878.78, 434,942.11 and 149,735.82

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Solution

The fourth proportional to 289,878.78, 434,942.11 and 149,735.82 is: 224,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,878.78 : 434,942.11 = 149,735.82 : x
  2. Step 2: Convert to fraction form
    289,878.78/434,942.11 = 149,735.82/x
  3. Step 3: Cross multiply
    289,878.78x = 434,942.11 × 149,735.82
  4. Step 4: Simplify right side
    289,878.78x = 65,126,414,469.32
  5. Step 5: Solve for x
    x = 65,126,414,469.32/289,878.78
  6. Step 6: Final answer
    x = 224,667.75

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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.