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Finding the Fourth Proportional to 277,866.91, 416,834.45 and 78,187.49

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Solution

The fourth proportional to 277,866.91, 416,834.45 and 78,187.49 is: 117,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,866.91 : 416,834.45 = 78,187.49 : x
  2. Step 2: Convert to fraction form
    277,866.91/416,834.45 = 78,187.49/x
  3. Step 3: Cross multiply
    277,866.91x = 416,834.45 × 78,187.49
  4. Step 4: Simplify right side
    277,866.91x = 32,591,238,918.85
  5. Step 5: Solve for x
    x = 32,591,238,918.85/277,866.91
  6. Step 6: Final answer
    x = 117,290.82

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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.