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Finding the Fourth Proportional to 277,742.20, 415,957.20 and 188,512.60

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Solution

The fourth proportional to 277,742.20, 415,957.20 and 188,512.60 is: 282,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,742.20 : 415,957.20 = 188,512.60 : x
  2. Step 2: Convert to fraction form
    277,742.20/415,957.20 = 188,512.60/x
  3. Step 3: Cross multiply
    277,742.20x = 415,957.20 × 188,512.60
  4. Step 4: Simplify right side
    277,742.20x = 78,413,173,260.72
  5. Step 5: Solve for x
    x = 78,413,173,260.72/277,742.20
  6. Step 6: Final answer
    x = 282,323.58

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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.