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Finding the Fourth Proportional to 256,986.62, 385,477.68 and 200,873.90

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Solution

The fourth proportional to 256,986.62, 385,477.68 and 200,873.90 is: 301,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,986.62 : 385,477.68 = 200,873.90 : x
  2. Step 2: Convert to fraction form
    256,986.62/385,477.68 = 200,873.90/x
  3. Step 3: Cross multiply
    256,986.62x = 385,477.68 × 200,873.90
  4. Step 4: Simplify right side
    256,986.62x = 77,432,404,944.55
  5. Step 5: Solve for x
    x = 77,432,404,944.55/256,986.62
  6. Step 6: Final answer
    x = 301,309.09

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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.