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Finding the Fourth Proportional to 279,811.68, 419,799.42 and 90,268.44

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Solution

The fourth proportional to 279,811.68, 419,799.42 and 90,268.44 is: 135,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,811.68 : 419,799.42 = 90,268.44 : x
  2. Step 2: Convert to fraction form
    279,811.68/419,799.42 = 90,268.44/x
  3. Step 3: Cross multiply
    279,811.68x = 419,799.42 × 90,268.44
  4. Step 4: Simplify right side
    279,811.68x = 37,894,638,756.30
  5. Step 5: Solve for x
    x = 37,894,638,756.30/279,811.68
  6. Step 6: Final answer
    x = 135,429.08

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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.