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Finding the Fourth Proportional to 404,191,107.80, 606,286,661.70 and 378,681,939.80

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Solution

The fourth proportional to 404,191,107.80, 606,286,661.70 and 378,681,939.80 is: 568,022,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,191,107.80 : 606,286,661.70 = 378,681,939.80 : x
  2. Step 2: Convert to fraction form
    404,191,107.80/606,286,661.70 = 378,681,939.80/x
  3. Step 3: Cross multiply
    404,191,107.80x = 606,286,661.70 × 378,681,939.80
  4. Step 4: Simplify right side
    404,191,107.80x = 229,589,809,127,422,400
  5. Step 5: Solve for x
    x = 229,589,809,127,422,400/404,191,107.80
  6. Step 6: Final answer
    x = 568,022,909.70

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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.