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Finding the Fourth Proportional to 303,618, 455,427 and 82,002

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Solution

The fourth proportional to 303,618, 455,427 and 82,002 is: 123,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,618 : 455,427 = 82,002 : x
  2. Step 2: Convert to fraction form
    303,618/455,427 = 82,002/x
  3. Step 3: Cross multiply
    303,618x = 455,427 × 82,002
  4. Step 4: Simplify right side
    303,618x = 37,345,924,854
  5. Step 5: Solve for x
    x = 37,345,924,854/303,618
  6. Step 6: Final answer
    x = 123,003

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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.