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Finding the Fourth Proportional to 256,704.08, 384,719.85 and 123,318.95

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Solution

The fourth proportional to 256,704.08, 384,719.85 and 123,318.95 is: 184,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,704.08 : 384,719.85 = 123,318.95 : x
  2. Step 2: Convert to fraction form
    256,704.08/384,719.85 = 123,318.95/x
  3. Step 3: Cross multiply
    256,704.08x = 384,719.85 × 123,318.95
  4. Step 4: Simplify right side
    256,704.08x = 47,443,246,022.56
  5. Step 5: Solve for x
    x = 47,443,246,022.56/256,704.08
  6. Step 6: Final answer
    x = 184,816.88

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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.