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Finding the Fourth Proportional to 486,682.68, 729,897.30 and 206,055.48

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Solution

The fourth proportional to 486,682.68, 729,897.30 and 206,055.48 is: 309,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,682.68 : 729,897.30 = 206,055.48 : x
  2. Step 2: Convert to fraction form
    486,682.68/729,897.30 = 206,055.48/x
  3. Step 3: Cross multiply
    486,682.68x = 729,897.30 × 206,055.48
  4. Step 4: Simplify right side
    486,682.68x = 150,399,338,502.20
  5. Step 5: Solve for x
    x = 150,399,338,502.20/486,682.68
  6. Step 6: Final answer
    x = 309,029.57

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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.