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Finding the Fourth Proportional to 208,396.92, 312,219.54 and 128,295.48

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Solution

The fourth proportional to 208,396.92, 312,219.54 and 128,295.48 is: 192,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,396.92 : 312,219.54 = 128,295.48 : x
  2. Step 2: Convert to fraction form
    208,396.92/312,219.54 = 128,295.48/x
  3. Step 3: Cross multiply
    208,396.92x = 312,219.54 × 128,295.48
  4. Step 4: Simplify right side
    208,396.92x = 40,056,355,749.68
  5. Step 5: Solve for x
    x = 40,056,355,749.68/208,396.92
  6. Step 6: Final answer
    x = 192,211.84

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1.5x scale

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.