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Finding the Fourth Proportional to 419,692.12, 629,080.02 and 206,606.68

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Solution

The fourth proportional to 419,692.12, 629,080.02 and 206,606.68 is: 309,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,692.12 : 629,080.02 = 206,606.68 : x
  2. Step 2: Convert to fraction form
    419,692.12/629,080.02 = 206,606.68/x
  3. Step 3: Cross multiply
    419,692.12x = 629,080.02 × 206,606.68
  4. Step 4: Simplify right side
    419,692.12x = 129,972,134,386.53
  5. Step 5: Solve for x
    x = 129,972,134,386.53/419,692.12
  6. Step 6: Final answer
    x = 309,684.48

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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.