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Finding the Fourth Proportional to 419,198.52, 578,475.81 and 228,212.58

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Solution

The fourth proportional to 419,198.52, 578,475.81 and 228,212.58 is: 314,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,198.52 : 578,475.81 = 228,212.58 : x
  2. Step 2: Convert to fraction form
    419,198.52/578,475.81 = 228,212.58/x
  3. Step 3: Cross multiply
    419,198.52x = 578,475.81 × 228,212.58
  4. Step 4: Simplify right side
    419,198.52x = 132,015,457,067.69
  5. Step 5: Solve for x
    x = 132,015,457,067.69/419,198.52
  6. Step 6: Final answer
    x = 314,923.48

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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.