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Finding the Fourth Proportional to 276,414.60, 415,059.30 and 209,929.80

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Solution

The fourth proportional to 276,414.60, 415,059.30 and 209,929.80 is: 315,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,414.60 : 415,059.30 = 209,929.80 : x
  2. Step 2: Convert to fraction form
    276,414.60/415,059.30 = 209,929.80/x
  3. Step 3: Cross multiply
    276,414.60x = 415,059.30 × 209,929.80
  4. Step 4: Simplify right side
    276,414.60x = 87,133,315,837.14
  5. Step 5: Solve for x
    x = 87,133,315,837.14/276,414.60
  6. Step 6: Final answer
    x = 315,226.89

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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.