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Finding the Fourth Proportional to 256,643.99, 384,961.74 and 76,729.83

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Solution

The fourth proportional to 256,643.99, 384,961.74 and 76,729.83 is: 115,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.99 : 384,961.74 = 76,729.83 : x
  2. Step 2: Convert to fraction form
    256,643.99/384,961.74 = 76,729.83/x
  3. Step 3: Cross multiply
    256,643.99x = 384,961.74 × 76,729.83
  4. Step 4: Simplify right side
    256,643.99x = 29,538,048,866.70
  5. Step 5: Solve for x
    x = 29,538,048,866.70/256,643.99
  6. Step 6: Final answer
    x = 115,093.48

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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.