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Finding the Fourth Proportional to 289,850.37, 434,769.02 and 100,299.30

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Solution

The fourth proportional to 289,850.37, 434,769.02 and 100,299.30 is: 150,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,850.37 : 434,769.02 = 100,299.30 : x
  2. Step 2: Convert to fraction form
    289,850.37/434,769.02 = 100,299.30/x
  3. Step 3: Cross multiply
    289,850.37x = 434,769.02 × 100,299.30
  4. Step 4: Simplify right side
    289,850.37x = 43,607,029,107.37
  5. Step 5: Solve for x
    x = 43,607,029,107.37/289,850.37
  6. Step 6: Final answer
    x = 150,446.69

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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.