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Finding the Fourth Proportional to 304,063.17, 419,619.01 and 201,912.50

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Solution

The fourth proportional to 304,063.17, 419,619.01 and 201,912.50 is: 278,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063.17 : 419,619.01 = 201,912.50 : x
  2. Step 2: Convert to fraction form
    304,063.17/419,619.01 = 201,912.50/x
  3. Step 3: Cross multiply
    304,063.17x = 419,619.01 × 201,912.50
  4. Step 4: Simplify right side
    304,063.17x = 84,726,321,351.24
  5. Step 5: Solve for x
    x = 84,726,321,351.24/304,063.17
  6. Step 6: Final answer
    x = 278,647.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.