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Finding the Fourth Proportional to 278,591.94, 418,053.92 and 101,112.80

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Solution

The fourth proportional to 278,591.94, 418,053.92 and 101,112.80 is: 151,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,591.94 : 418,053.92 = 101,112.80 : x
  2. Step 2: Convert to fraction form
    278,591.94/418,053.92 = 101,112.80/x
  3. Step 3: Cross multiply
    278,591.94x = 418,053.92 × 101,112.80
  4. Step 4: Simplify right side
    278,591.94x = 42,270,599,806.34
  5. Step 5: Solve for x
    x = 42,270,599,806.34/278,591.94
  6. Step 6: Final answer
    x = 151,729.44

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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.