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Finding the Fourth Proportional to 303,619, 455,428.50 and 82,003

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Solution

The fourth proportional to 303,619, 455,428.50 and 82,003 is: 123,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,619 : 455,428.50 = 82,003 : x
  2. Step 2: Convert to fraction form
    303,619/455,428.50 = 82,003/x
  3. Step 3: Cross multiply
    303,619x = 455,428.50 × 82,003
  4. Step 4: Simplify right side
    303,619x = 37,346,503,285.50
  5. Step 5: Solve for x
    x = 37,346,503,285.50/303,619
  6. Step 6: Final answer
    x = 123,004.50

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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.