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Finding the Fourth Proportional to 654,379.88, 981,582.12 and 205,090.80

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Solution

The fourth proportional to 654,379.88, 981,582.12 and 205,090.80 is: 307,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,379.88 : 981,582.12 = 205,090.80 : x
  2. Step 2: Convert to fraction form
    654,379.88/981,582.12 = 205,090.80/x
  3. Step 3: Cross multiply
    654,379.88x = 981,582.12 × 205,090.80
  4. Step 4: Simplify right side
    654,379.88x = 201,313,462,256.50
  5. Step 5: Solve for x
    x = 201,313,462,256.50/654,379.88
  6. Step 6: Final answer
    x = 307,640.06

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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.