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Finding the Fourth Proportional to 277,455.80, 416,183.70 and 90,467.30

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Solution

The fourth proportional to 277,455.80, 416,183.70 and 90,467.30 is: 135,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,455.80 : 416,183.70 = 90,467.30 : x
  2. Step 2: Convert to fraction form
    277,455.80/416,183.70 = 90,467.30/x
  3. Step 3: Cross multiply
    277,455.80x = 416,183.70 × 90,467.30
  4. Step 4: Simplify right side
    277,455.80x = 37,651,015,643.01
  5. Step 5: Solve for x
    x = 37,651,015,643.01/277,455.80
  6. Step 6: Final answer
    x = 135,700.95

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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.