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Finding the Fourth Proportional to 256,309.44, 384,462.76 and 104,505.92

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Solution

The fourth proportional to 256,309.44, 384,462.76 and 104,505.92 is: 156,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,309.44 : 384,462.76 = 104,505.92 : x
  2. Step 2: Convert to fraction form
    256,309.44/384,462.76 = 104,505.92/x
  3. Step 3: Cross multiply
    256,309.44x = 384,462.76 × 104,505.92
  4. Step 4: Simplify right side
    256,309.44x = 40,178,633,893.64
  5. Step 5: Solve for x
    x = 40,178,633,893.64/256,309.44
  6. Step 6: Final answer
    x = 156,758.31

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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.