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Finding the Fourth Proportional to 320,856, 481,757.07 and 178,978.44

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Solution

The fourth proportional to 320,856, 481,757.07 and 178,978.44 is: 268,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,856 : 481,757.07 = 178,978.44 : x
  2. Step 2: Convert to fraction form
    320,856/481,757.07 = 178,978.44/x
  3. Step 3: Cross multiply
    320,856x = 481,757.07 × 178,978.44
  4. Step 4: Simplify right side
    320,856x = 86,224,128,847.57
  5. Step 5: Solve for x
    x = 86,224,128,847.57/320,856
  6. Step 6: Final answer
    x = 268,731.55

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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.