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Finding the Fourth Proportional to 278,250.46, 416,819.22 and 128,285.44

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Solution

The fourth proportional to 278,250.46, 416,819.22 and 128,285.44 is: 192,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,250.46 : 416,819.22 = 128,285.44 : x
  2. Step 2: Convert to fraction form
    278,250.46/416,819.22 = 128,285.44/x
  3. Step 3: Cross multiply
    278,250.46x = 416,819.22 × 128,285.44
  4. Step 4: Simplify right side
    278,250.46x = 53,471,837,038.16
  5. Step 5: Solve for x
    x = 53,471,837,038.16/278,250.46
  6. Step 6: Final answer
    x = 192,171.60

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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.