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Finding the Fourth Proportional to 419,618.40, 629,613.63 and 219,891.30

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Solution

The fourth proportional to 419,618.40, 629,613.63 and 219,891.30 is: 329,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,618.40 : 629,613.63 = 219,891.30 : x
  2. Step 2: Convert to fraction form
    419,618.40/629,613.63 = 219,891.30/x
  3. Step 3: Cross multiply
    419,618.40x = 629,613.63 × 219,891.30
  4. Step 4: Simplify right side
    419,618.40x = 138,446,559,598.42
  5. Step 5: Solve for x
    x = 138,446,559,598.42/419,618.40
  6. Step 6: Final answer
    x = 329,934.43

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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.