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Finding the Fourth Proportional to 278,121.88, 416,935.30 and 100,589.46

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Solution

The fourth proportional to 278,121.88, 416,935.30 and 100,589.46 is: 150,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,121.88 : 416,935.30 = 100,589.46 : x
  2. Step 2: Convert to fraction form
    278,121.88/416,935.30 = 100,589.46/x
  3. Step 3: Cross multiply
    278,121.88x = 416,935.30 × 100,589.46
  4. Step 4: Simplify right side
    278,121.88x = 41,939,296,681.94
  5. Step 5: Solve for x
    x = 41,939,296,681.94/278,121.88
  6. Step 6: Final answer
    x = 150,794.67

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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.