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Finding the Fourth Proportional to 277,600, 416,411.52 and 80,608

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Solution

The fourth proportional to 277,600, 416,411.52 and 80,608 is: 120,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,600 : 416,411.52 = 80,608 : x
  2. Step 2: Convert to fraction form
    277,600/416,411.52 = 80,608/x
  3. Step 3: Cross multiply
    277,600x = 416,411.52 × 80,608
  4. Step 4: Simplify right side
    277,600x = 33,566,099,804.16
  5. Step 5: Solve for x
    x = 33,566,099,804.16/277,600
  6. Step 6: Final answer
    x = 120,915.35

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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.