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Finding the Fourth Proportional to 278,955.68, 418,436.44 and 110,517

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Solution

The fourth proportional to 278,955.68, 418,436.44 and 110,517 is: 165,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,955.68 : 418,436.44 = 110,517 : x
  2. Step 2: Convert to fraction form
    278,955.68/418,436.44 = 110,517/x
  3. Step 3: Cross multiply
    278,955.68x = 418,436.44 × 110,517
  4. Step 4: Simplify right side
    278,955.68x = 46,244,340,039.48
  5. Step 5: Solve for x
    x = 46,244,340,039.48/278,955.68
  6. Step 6: Final answer
    x = 165,776.66

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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.