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Finding the Fourth Proportional to 276,504.30, 414,370.88 and 208,980.90

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Solution

The fourth proportional to 276,504.30, 414,370.88 and 208,980.90 is: 313,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,504.30 : 414,370.88 = 208,980.90 : x
  2. Step 2: Convert to fraction form
    276,504.30/414,370.88 = 208,980.90/x
  3. Step 3: Cross multiply
    276,504.30x = 414,370.88 × 208,980.90
  4. Step 4: Simplify right side
    276,504.30x = 86,595,599,945.18
  5. Step 5: Solve for x
    x = 86,595,599,945.18/276,504.30
  6. Step 6: Final answer
    x = 313,179.94

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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.