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Finding the Fourth Proportional to 419,716.60, 629,344.04 and 286,747

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Solution

The fourth proportional to 419,716.60, 629,344.04 and 286,747 is: 429,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716.60 : 629,344.04 = 286,747 : x
  2. Step 2: Convert to fraction form
    419,716.60/629,344.04 = 286,747/x
  3. Step 3: Cross multiply
    419,716.60x = 629,344.04 × 286,747
  4. Step 4: Simplify right side
    419,716.60x = 180,462,515,437.88
  5. Step 5: Solve for x
    x = 180,462,515,437.88/419,716.60
  6. Step 6: Final answer
    x = 429,962.78

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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.