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Finding the Fourth Proportional to 278,136.45, 417,020.40 and 100,620.09

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Solution

The fourth proportional to 278,136.45, 417,020.40 and 100,620.09 is: 150,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,136.45 : 417,020.40 = 100,620.09 : x
  2. Step 2: Convert to fraction form
    278,136.45/417,020.40 = 100,620.09/x
  3. Step 3: Cross multiply
    278,136.45x = 417,020.40 × 100,620.09
  4. Step 4: Simplify right side
    278,136.45x = 41,960,630,179.84
  5. Step 5: Solve for x
    x = 41,960,630,179.84/278,136.45
  6. Step 6: Final answer
    x = 150,863.47

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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.