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Finding the Fourth Proportional to 277,408.40, 416,112.60 and 211,053.20

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Solution

The fourth proportional to 277,408.40, 416,112.60 and 211,053.20 is: 316,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,408.40 : 416,112.60 = 211,053.20 : x
  2. Step 2: Convert to fraction form
    277,408.40/416,112.60 = 211,053.20/x
  3. Step 3: Cross multiply
    277,408.40x = 416,112.60 × 211,053.20
  4. Step 4: Simplify right side
    277,408.40x = 87,821,895,790.32
  5. Step 5: Solve for x
    x = 87,821,895,790.32/277,408.40
  6. Step 6: Final answer
    x = 316,579.80

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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.