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Finding the Fourth Proportional to 303,911.28, 455,832.36 and 82,278

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Solution

The fourth proportional to 303,911.28, 455,832.36 and 82,278 is: 123,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,911.28 : 455,832.36 = 82,278 : x
  2. Step 2: Convert to fraction form
    303,911.28/455,832.36 = 82,278/x
  3. Step 3: Cross multiply
    303,911.28x = 455,832.36 × 82,278
  4. Step 4: Simplify right side
    303,911.28x = 37,504,974,916.08
  5. Step 5: Solve for x
    x = 37,504,974,916.08/303,911.28
  6. Step 6: Final answer
    x = 123,407.64

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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.