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Finding the Fourth Proportional to 289,768.16, 434,563.76 and 200,385.44

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Solution

The fourth proportional to 289,768.16, 434,563.76 and 200,385.44 is: 300,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,768.16 : 434,563.76 = 200,385.44 : x
  2. Step 2: Convert to fraction form
    289,768.16/434,563.76 = 200,385.44/x
  3. Step 3: Cross multiply
    289,768.16x = 434,563.76 × 200,385.44
  4. Step 4: Simplify right side
    289,768.16x = 87,080,250,255.65
  5. Step 5: Solve for x
    x = 87,080,250,255.65/289,768.16
  6. Step 6: Final answer
    x = 300,516.97

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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.