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Finding the Fourth Proportional to 256,299.82, 384,531.99 and 123,189.73

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Solution

The fourth proportional to 256,299.82, 384,531.99 and 123,189.73 is: 184,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,299.82 : 384,531.99 = 123,189.73 : x
  2. Step 2: Convert to fraction form
    256,299.82/384,531.99 = 123,189.73/x
  3. Step 3: Cross multiply
    256,299.82x = 384,531.99 × 123,189.73
  4. Step 4: Simplify right side
    256,299.82x = 47,370,392,024.46
  5. Step 5: Solve for x
    x = 47,370,392,024.46/256,299.82
  6. Step 6: Final answer
    x = 184,824.13

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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.