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Finding the Fourth Proportional to 277,738.70, 416,543.04 and 78,078.15

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Solution

The fourth proportional to 277,738.70, 416,543.04 and 78,078.15 is: 117,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.70 : 416,543.04 = 78,078.15 : x
  2. Step 2: Convert to fraction form
    277,738.70/416,543.04 = 78,078.15/x
  3. Step 3: Cross multiply
    277,738.70x = 416,543.04 × 78,078.15
  4. Step 4: Simplify right side
    277,738.70x = 32,522,909,958.58
  5. Step 5: Solve for x
    x = 32,522,909,958.58/277,738.70
  6. Step 6: Final answer
    x = 117,098.95

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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.