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Finding the Fourth Proportional to 470,949.16, 649,916.26 and 269,745

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Solution

The fourth proportional to 470,949.16, 649,916.26 and 269,745 is: 372,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,949.16 : 649,916.26 = 269,745 : x
  2. Step 2: Convert to fraction form
    470,949.16/649,916.26 = 269,745/x
  3. Step 3: Cross multiply
    470,949.16x = 649,916.26 × 269,745
  4. Step 4: Simplify right side
    470,949.16x = 175,311,661,553.70
  5. Step 5: Solve for x
    x = 175,311,661,553.70/470,949.16
  6. Step 6: Final answer
    x = 372,251.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.