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Finding the Fourth Proportional to 419,646.60, 629,655.94 and 219,919.50

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Solution

The fourth proportional to 419,646.60, 629,655.94 and 219,919.50 is: 329,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,646.60 : 629,655.94 = 219,919.50 : x
  2. Step 2: Convert to fraction form
    419,646.60/629,655.94 = 219,919.50/x
  3. Step 3: Cross multiply
    419,646.60x = 629,655.94 × 219,919.50
  4. Step 4: Simplify right side
    419,646.60x = 138,473,619,496.83
  5. Step 5: Solve for x
    x = 138,473,619,496.83/419,646.60
  6. Step 6: Final answer
    x = 329,976.75

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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.