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Finding the Fourth Proportional to 404,195.85, 606,126.99 and 137,977.83

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Solution

The fourth proportional to 404,195.85, 606,126.99 and 137,977.83 is: 206,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,195.85 : 606,126.99 = 137,977.83 : x
  2. Step 2: Convert to fraction form
    404,195.85/606,126.99 = 137,977.83/x
  3. Step 3: Cross multiply
    404,195.85x = 606,126.99 × 137,977.83
  4. Step 4: Simplify right side
    404,195.85x = 83,632,086,784.63
  5. Step 5: Solve for x
    x = 83,632,086,784.63/404,195.85
  6. Step 6: Final answer
    x = 206,909.81

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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.