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Finding the Fourth Proportional to 277,211.54, 415,862.18 and 108,640.46

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Solution

The fourth proportional to 277,211.54, 415,862.18 and 108,640.46 is: 162,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,211.54 : 415,862.18 = 108,640.46 : x
  2. Step 2: Convert to fraction form
    277,211.54/415,862.18 = 108,640.46/x
  3. Step 3: Cross multiply
    277,211.54x = 415,862.18 × 108,640.46
  4. Step 4: Simplify right side
    277,211.54x = 45,179,458,531.80
  5. Step 5: Solve for x
    x = 45,179,458,531.80/277,211.54
  6. Step 6: Final answer
    x = 162,978.27

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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.