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Finding the Fourth Proportional to 256,321.44, 383,891.40 and 177,491.52

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Solution

The fourth proportional to 256,321.44, 383,891.40 and 177,491.52 is: 265,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,321.44 : 383,891.40 = 177,491.52 : x
  2. Step 2: Convert to fraction form
    256,321.44/383,891.40 = 177,491.52/x
  3. Step 3: Cross multiply
    256,321.44x = 383,891.40 × 177,491.52
  4. Step 4: Simplify right side
    256,321.44x = 68,137,468,100.93
  5. Step 5: Solve for x
    x = 68,137,468,100.93/256,321.44
  6. Step 6: Final answer
    x = 265,828.20

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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.