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Finding the Fourth Proportional to 289,793.63, 434,641.24 and 76,563.87

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Solution

The fourth proportional to 289,793.63, 434,641.24 and 76,563.87 is: 114,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.63 : 434,641.24 = 76,563.87 : x
  2. Step 2: Convert to fraction form
    289,793.63/434,641.24 = 76,563.87/x
  3. Step 3: Cross multiply
    289,793.63x = 434,641.24 × 76,563.87
  4. Step 4: Simplify right side
    289,793.63x = 33,277,813,861.80
  5. Step 5: Solve for x
    x = 33,277,813,861.80/289,793.63
  6. Step 6: Final answer
    x = 114,832.80

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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.