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Finding the Fourth Proportional to 277,928.92, 416,917.98 and 78,251.02

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Solution

The fourth proportional to 277,928.92, 416,917.98 and 78,251.02 is: 117,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,928.92 : 416,917.98 = 78,251.02 : x
  2. Step 2: Convert to fraction form
    277,928.92/416,917.98 = 78,251.02/x
  3. Step 3: Cross multiply
    277,928.92x = 416,917.98 × 78,251.02
  4. Step 4: Simplify right side
    277,928.92x = 32,624,257,191.34
  5. Step 5: Solve for x
    x = 32,624,257,191.34/277,928.92
  6. Step 6: Final answer
    x = 117,383.46

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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.