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Finding the Fourth Proportional to 656,214, 984,416.04 and 206,782.80

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Solution

The fourth proportional to 656,214, 984,416.04 and 206,782.80 is: 310,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,214 : 984,416.04 = 206,782.80 : x
  2. Step 2: Convert to fraction form
    656,214/984,416.04 = 206,782.80/x
  3. Step 3: Cross multiply
    656,214x = 984,416.04 × 206,782.80
  4. Step 4: Simplify right side
    656,214x = 203,560,305,116.11
  5. Step 5: Solve for x
    x = 203,560,305,116.11/656,214
  6. Step 6: Final answer
    x = 310,204.15

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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.