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Finding the Fourth Proportional to 304,998.30, 421,046.37 and 203,084.10

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Solution

The fourth proportional to 304,998.30, 421,046.37 and 203,084.10 is: 280,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,998.30 : 421,046.37 = 203,084.10 : x
  2. Step 2: Convert to fraction form
    304,998.30/421,046.37 = 203,084.10/x
  3. Step 3: Cross multiply
    304,998.30x = 421,046.37 × 203,084.10
  4. Step 4: Simplify right side
    304,998.30x = 85,507,823,109.72
  5. Step 5: Solve for x
    x = 85,507,823,109.72/304,998.30
  6. Step 6: Final answer
    x = 280,355.08

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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.