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Finding the Fourth Proportional to 279,974.15, 419,307.25 and 257,367.14

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Solution

The fourth proportional to 279,974.15, 419,307.25 and 257,367.14 is: 385,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,974.15 : 419,307.25 = 257,367.14 : x
  2. Step 2: Convert to fraction form
    279,974.15/419,307.25 = 257,367.14/x
  3. Step 3: Cross multiply
    279,974.15x = 419,307.25 × 257,367.14
  4. Step 4: Simplify right side
    279,974.15x = 107,915,907,713.77
  5. Step 5: Solve for x
    x = 107,915,907,713.77/279,974.15
  6. Step 6: Final answer
    x = 385,449.54

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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.