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Finding the Fourth Proportional to 256,963.06, 385,442.43 and 200,850.37

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Solution

The fourth proportional to 256,963.06, 385,442.43 and 200,850.37 is: 301,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,963.06 : 385,442.43 = 200,850.37 : x
  2. Step 2: Convert to fraction form
    256,963.06/385,442.43 = 200,850.37/x
  3. Step 3: Cross multiply
    256,963.06x = 385,442.43 × 200,850.37
  4. Step 4: Simplify right side
    256,963.06x = 77,416,254,679.20
  5. Step 5: Solve for x
    x = 77,416,254,679.20/256,963.06
  6. Step 6: Final answer
    x = 301,273.87

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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.