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Finding the Fourth Proportional to 276,442.50, 414,663.42 and 86,919.44

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Solution

The fourth proportional to 276,442.50, 414,663.42 and 86,919.44 is: 130,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,442.50 : 414,663.42 = 86,919.44 : x
  2. Step 2: Convert to fraction form
    276,442.50/414,663.42 = 86,919.44/x
  3. Step 3: Cross multiply
    276,442.50x = 414,663.42 × 86,919.44
  4. Step 4: Simplify right side
    276,442.50x = 36,042,310,181.57
  5. Step 5: Solve for x
    x = 36,042,310,181.57/276,442.50
  6. Step 6: Final answer
    x = 130,379.05

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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.