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Finding the Fourth Proportional to 419,768.60, 629,839.02 and 220,041.32

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Solution

The fourth proportional to 419,768.60, 629,839.02 and 220,041.32 is: 330,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,768.60 : 629,839.02 = 220,041.32 : x
  2. Step 2: Convert to fraction form
    419,768.60/629,839.02 = 220,041.32/x
  3. Step 3: Cross multiply
    419,768.60x = 629,839.02 × 220,041.32
  4. Step 4: Simplify right side
    419,768.60x = 138,590,609,348.31
  5. Step 5: Solve for x
    x = 138,590,609,348.31/419,768.60
  6. Step 6: Final answer
    x = 330,159.54

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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.