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Finding the Fourth Proportional to 256,883.40, 385,325.10 and 178,086.60

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Solution

The fourth proportional to 256,883.40, 385,325.10 and 178,086.60 is: 267,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,883.40 : 385,325.10 = 178,086.60 : x
  2. Step 2: Convert to fraction form
    256,883.40/385,325.10 = 178,086.60/x
  3. Step 3: Cross multiply
    256,883.40x = 385,325.10 × 178,086.60
  4. Step 4: Simplify right side
    256,883.40x = 68,621,236,953.66
  5. Step 5: Solve for x
    x = 68,621,236,953.66/256,883.40
  6. Step 6: Final answer
    x = 267,129.90

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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.