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Finding the Fourth Proportional to 486,684.68, 729,900.30 and 206,057.48

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Solution

The fourth proportional to 486,684.68, 729,900.30 and 206,057.48 is: 309,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,684.68 : 729,900.30 = 206,057.48 : x
  2. Step 2: Convert to fraction form
    486,684.68/729,900.30 = 206,057.48/x
  3. Step 3: Cross multiply
    486,684.68x = 729,900.30 × 206,057.48
  4. Step 4: Simplify right side
    486,684.68x = 150,401,416,469.24
  5. Step 5: Solve for x
    x = 150,401,416,469.24/486,684.68
  6. Step 6: Final answer
    x = 309,032.57

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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.