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Finding the Fourth Proportional to 277,879.97, 383,469.34 and 157,018.65

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Solution

The fourth proportional to 277,879.97, 383,469.34 and 157,018.65 is: 216,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,879.97 : 383,469.34 = 157,018.65 : x
  2. Step 2: Convert to fraction form
    277,879.97/383,469.34 = 157,018.65/x
  3. Step 3: Cross multiply
    277,879.97x = 383,469.34 × 157,018.65
  4. Step 4: Simplify right side
    277,879.97x = 60,211,837,690.64
  5. Step 5: Solve for x
    x = 60,211,837,690.64/277,879.97
  6. Step 6: Final answer
    x = 216,682.90

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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.