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Finding the Fourth Proportional to 285,940.54, 428,912.43 and 75,576.25

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Solution

The fourth proportional to 285,940.54, 428,912.43 and 75,576.25 is: 113,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,940.54 : 428,912.43 = 75,576.25 : x
  2. Step 2: Convert to fraction form
    285,940.54/428,912.43 = 75,576.25/x
  3. Step 3: Cross multiply
    285,940.54x = 428,912.43 × 75,576.25
  4. Step 4: Simplify right side
    285,940.54x = 32,415,593,037.79
  5. Step 5: Solve for x
    x = 32,415,593,037.79/285,940.54
  6. Step 6: Final answer
    x = 113,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.