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Finding the Fourth Proportional to 256,002, 383,988.60 and 78,508.54

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Solution

The fourth proportional to 256,002, 383,988.60 and 78,508.54 is: 117,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,002 : 383,988.60 = 78,508.54 : x
  2. Step 2: Convert to fraction form
    256,002/383,988.60 = 78,508.54/x
  3. Step 3: Cross multiply
    256,002x = 383,988.60 × 78,508.54
  4. Step 4: Simplify right side
    256,002x = 30,146,384,362.64
  5. Step 5: Solve for x
    x = 30,146,384,362.64/256,002
  6. Step 6: Final answer
    x = 117,758.39

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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.