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Finding the Fourth Proportional to 303,661.85, 419,228.28 and 201,825.41

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Solution

The fourth proportional to 303,661.85, 419,228.28 and 201,825.41 is: 278,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,661.85 : 419,228.28 = 201,825.41 : x
  2. Step 2: Convert to fraction form
    303,661.85/419,228.28 = 201,825.41/x
  3. Step 3: Cross multiply
    303,661.85x = 419,228.28 × 201,825.41
  4. Step 4: Simplify right side
    303,661.85x = 84,610,917,398.45
  5. Step 5: Solve for x
    x = 84,610,917,398.45/303,661.85
  6. Step 6: Final answer
    x = 278,635.33

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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.