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Finding the Fourth Proportional to 277,680.66, 416,522.35 and 67,318.59

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Solution

The fourth proportional to 277,680.66, 416,522.35 and 67,318.59 is: 100,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,680.66 : 416,522.35 = 67,318.59 : x
  2. Step 2: Convert to fraction form
    277,680.66/416,522.35 = 67,318.59/x
  3. Step 3: Cross multiply
    277,680.66x = 416,522.35 × 67,318.59
  4. Step 4: Simplify right side
    277,680.66x = 28,039,698,951.59
  5. Step 5: Solve for x
    x = 28,039,698,951.59/277,680.66
  6. Step 6: Final answer
    x = 100,978.22

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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.