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Finding the Fourth Proportional to 256,620.85, 384,923.30 and 106,857.36

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Solution

The fourth proportional to 256,620.85, 384,923.30 and 106,857.36 is: 160,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,620.85 : 384,923.30 = 106,857.36 : x
  2. Step 2: Convert to fraction form
    256,620.85/384,923.30 = 106,857.36/x
  3. Step 3: Cross multiply
    256,620.85x = 384,923.30 × 106,857.36
  4. Step 4: Simplify right side
    256,620.85x = 41,131,888,549.66
  5. Step 5: Solve for x
    x = 41,131,888,549.66/256,620.85
  6. Step 6: Final answer
    x = 160,282.73

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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.