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Finding the Fourth Proportional to 419,940.37, 579,523.98 and 228,956.95

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Solution

The fourth proportional to 419,940.37, 579,523.98 and 228,956.95 is: 315,964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,940.37 : 579,523.98 = 228,956.95 : x
  2. Step 2: Convert to fraction form
    419,940.37/579,523.98 = 228,956.95/x
  3. Step 3: Cross multiply
    419,940.37x = 579,523.98 × 228,956.95
  4. Step 4: Simplify right side
    419,940.37x = 132,686,042,912.66
  5. Step 5: Solve for x
    x = 132,686,042,912.66/419,940.37
  6. Step 6: Final answer
    x = 315,964.01

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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.