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Finding the Fourth Proportional to 419,042.18, 628,559.88 and 277,520.80

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Solution

The fourth proportional to 419,042.18, 628,559.88 and 277,520.80 is: 416,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,042.18 : 628,559.88 = 277,520.80 : x
  2. Step 2: Convert to fraction form
    419,042.18/628,559.88 = 277,520.80/x
  3. Step 3: Cross multiply
    419,042.18x = 628,559.88 × 277,520.80
  4. Step 4: Simplify right side
    419,042.18x = 174,438,440,745.50
  5. Step 5: Solve for x
    x = 174,438,440,745.50/419,042.18
  6. Step 6: Final answer
    x = 416,278.95

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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.