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Finding the Fourth Proportional to 277,928.67, 416,917.61 and 78,250.77

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Solution

The fourth proportional to 277,928.67, 416,917.61 and 78,250.77 is: 117,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,928.67 : 416,917.61 = 78,250.77 : x
  2. Step 2: Convert to fraction form
    277,928.67/416,917.61 = 78,250.77/x
  3. Step 3: Cross multiply
    277,928.67x = 416,917.61 × 78,250.77
  4. Step 4: Simplify right side
    277,928.67x = 32,624,123,617.81
  5. Step 5: Solve for x
    x = 32,624,123,617.81/277,928.67
  6. Step 6: Final answer
    x = 117,383.08

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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.