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Finding the Fourth Proportional to 420,410.60, 629,579.10 and 279,405.80

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Solution

The fourth proportional to 420,410.60, 629,579.10 and 279,405.80 is: 418,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,410.60 : 629,579.10 = 279,405.80 : x
  2. Step 2: Convert to fraction form
    420,410.60/629,579.10 = 279,405.80/x
  3. Step 3: Cross multiply
    420,410.60x = 629,579.10 × 279,405.80
  4. Step 4: Simplify right side
    420,410.60x = 175,908,052,098.78
  5. Step 5: Solve for x
    x = 175,908,052,098.78/420,410.60
  6. Step 6: Final answer
    x = 418,419.64

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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.