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Finding the Fourth Proportional to 419,613.84, 629,420.19 and 194,851.37

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Solution

The fourth proportional to 419,613.84, 629,420.19 and 194,851.37 is: 292,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,613.84 : 629,420.19 = 194,851.37 : x
  2. Step 2: Convert to fraction form
    419,613.84/629,420.19 = 194,851.37/x
  3. Step 3: Cross multiply
    419,613.84x = 629,420.19 × 194,851.37
  4. Step 4: Simplify right side
    419,613.84x = 122,643,388,814.08
  5. Step 5: Solve for x
    x = 122,643,388,814.08/419,613.84
  6. Step 6: Final answer
    x = 292,276.79

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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.