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Finding the Fourth Proportional to 470,588.26, 649,083.46 and 309,391.78

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Solution

The fourth proportional to 470,588.26, 649,083.46 and 309,391.78 is: 426,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,588.26 : 649,083.46 = 309,391.78 : x
  2. Step 2: Convert to fraction form
    470,588.26/649,083.46 = 309,391.78/x
  3. Step 3: Cross multiply
    470,588.26x = 649,083.46 × 309,391.78
  4. Step 4: Simplify right side
    470,588.26x = 200,821,087,057.96
  5. Step 5: Solve for x
    x = 200,821,087,057.96/470,588.26
  6. Step 6: Final answer
    x = 426,744.79

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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.