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Finding the Fourth Proportional to 277,879.90, 383,469.25 and 157,018.59

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Solution

The fourth proportional to 277,879.90, 383,469.25 and 157,018.59 is: 216,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,879.90 : 383,469.25 = 157,018.59 : x
  2. Step 2: Convert to fraction form
    277,879.90/383,469.25 = 157,018.59/x
  3. Step 3: Cross multiply
    277,879.90x = 383,469.25 × 157,018.59
  4. Step 4: Simplify right side
    277,879.90x = 60,211,799,418.56
  5. Step 5: Solve for x
    x = 60,211,799,418.56/277,879.90
  6. Step 6: Final answer
    x = 216,682.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.