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Finding the Fourth Proportional to 278,249.46, 416,817.72 and 128,284.44

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Solution

The fourth proportional to 278,249.46, 416,817.72 and 128,284.44 is: 192,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,249.46 : 416,817.72 = 128,284.44 : x
  2. Step 2: Convert to fraction form
    278,249.46/416,817.72 = 128,284.44/x
  3. Step 3: Cross multiply
    278,249.46x = 416,817.72 × 128,284.44
  4. Step 4: Simplify right side
    278,249.46x = 53,471,227,792.28
  5. Step 5: Solve for x
    x = 53,471,227,792.28/278,249.46
  6. Step 6: Final answer
    x = 192,170.10

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1.5x scale

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.