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Finding the Fourth Proportional to 303,663.85, 419,231.04 and 201,827.41

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Solution

The fourth proportional to 303,663.85, 419,231.04 and 201,827.41 is: 278,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,663.85 : 419,231.04 = 201,827.41 : x
  2. Step 2: Convert to fraction form
    303,663.85/419,231.04 = 201,827.41/x
  3. Step 3: Cross multiply
    303,663.85x = 419,231.04 × 201,827.41
  4. Step 4: Simplify right side
    303,663.85x = 84,612,314,994.81
  5. Step 5: Solve for x
    x = 84,612,314,994.81/303,663.85
  6. Step 6: Final answer
    x = 278,638.09

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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.