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Finding the Fourth Proportional to 303,965.28, 455,947.86 and 82,349.28

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Solution

The fourth proportional to 303,965.28, 455,947.86 and 82,349.28 is: 123,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,965.28 : 455,947.86 = 82,349.28 : x
  2. Step 2: Convert to fraction form
    303,965.28/455,947.86 = 82,349.28/x
  3. Step 3: Cross multiply
    303,965.28x = 455,947.86 × 82,349.28
  4. Step 4: Simplify right side
    303,965.28x = 37,546,977,988.54
  5. Step 5: Solve for x
    x = 37,546,977,988.54/303,965.28
  6. Step 6: Final answer
    x = 123,523.90

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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.