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Finding the Fourth Proportional to 419,662.61, 629,679.81 and 219,935.29

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Solution

The fourth proportional to 419,662.61, 629,679.81 and 219,935.29 is: 330,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,662.61 : 629,679.81 = 219,935.29 : x
  2. Step 2: Convert to fraction form
    419,662.61/629,679.81 = 219,935.29/x
  3. Step 3: Cross multiply
    419,662.61x = 629,679.81 × 219,935.29
  4. Step 4: Simplify right side
    419,662.61x = 138,488,811,619.50
  5. Step 5: Solve for x
    x = 138,488,811,619.50/419,662.61
  6. Step 6: Final answer
    x = 330,000.36

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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.