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Finding the Fourth Proportional to 289,793.35, 434,640.21 and 76,563.55

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Solution

The fourth proportional to 289,793.35, 434,640.21 and 76,563.55 is: 114,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.35 : 434,640.21 = 76,563.55 : x
  2. Step 2: Convert to fraction form
    289,793.35/434,640.21 = 76,563.55/x
  3. Step 3: Cross multiply
    289,793.35x = 434,640.21 × 76,563.55
  4. Step 4: Simplify right side
    289,793.35x = 33,277,597,450.35
  5. Step 5: Solve for x
    x = 33,277,597,450.35/289,793.35
  6. Step 6: Final answer
    x = 114,832.16

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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.