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Finding the Fourth Proportional to 278,108.88, 416,915.91 and 100,576.42

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Solution

The fourth proportional to 278,108.88, 416,915.91 and 100,576.42 is: 150,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,108.88 : 416,915.91 = 100,576.42 : x
  2. Step 2: Convert to fraction form
    278,108.88/416,915.91 = 100,576.42/x
  3. Step 3: Cross multiply
    278,108.88x = 416,915.91 × 100,576.42
  4. Step 4: Simplify right side
    278,108.88x = 41,931,907,584.26
  5. Step 5: Solve for x
    x = 41,931,907,584.26/278,108.88
  6. Step 6: Final answer
    x = 150,775.15

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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.