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Finding the Fourth Proportional to 473,105.20, 709,439.10 and 206,728.60

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Solution

The fourth proportional to 473,105.20, 709,439.10 and 206,728.60 is: 309,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,105.20 : 709,439.10 = 206,728.60 : x
  2. Step 2: Convert to fraction form
    473,105.20/709,439.10 = 206,728.60/x
  3. Step 3: Cross multiply
    473,105.20x = 709,439.10 × 206,728.60
  4. Step 4: Simplify right side
    473,105.20x = 146,661,351,928.26
  5. Step 5: Solve for x
    x = 146,661,351,928.26/473,105.20
  6. Step 6: Final answer
    x = 309,997.34

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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.