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Finding the Fourth Proportional to 303,902.30, 419,411.79 and 201,747.26

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Solution

The fourth proportional to 303,902.30, 419,411.79 and 201,747.26 is: 278,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,902.30 : 419,411.79 = 201,747.26 : x
  2. Step 2: Convert to fraction form
    303,902.30/419,411.79 = 201,747.26/x
  3. Step 3: Cross multiply
    303,902.30x = 419,411.79 × 201,747.26
  4. Step 4: Simplify right side
    303,902.30x = 84,615,179,444.20
  5. Step 5: Solve for x
    x = 84,615,179,444.20/303,902.30
  6. Step 6: Final answer
    x = 278,428.89

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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.