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Finding the Fourth Proportional to 208,849.20, 312,928.20 and 177,745.20

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Solution

The fourth proportional to 208,849.20, 312,928.20 and 177,745.20 is: 266,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,849.20 : 312,928.20 = 177,745.20 : x
  2. Step 2: Convert to fraction form
    208,849.20/312,928.20 = 177,745.20/x
  3. Step 3: Cross multiply
    208,849.20x = 312,928.20 × 177,745.20
  4. Step 4: Simplify right side
    208,849.20x = 55,621,485,494.64
  5. Step 5: Solve for x
    x = 55,621,485,494.64/208,849.20
  6. Step 6: Final answer
    x = 266,323.67

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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.