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Finding the Fourth Proportional to 301,914.98, 415,922.57 and 211,101.02

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Solution

The fourth proportional to 301,914.98, 415,922.57 and 211,101.02 is: 290,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914.98 : 415,922.57 = 211,101.02 : x
  2. Step 2: Convert to fraction form
    301,914.98/415,922.57 = 211,101.02/x
  3. Step 3: Cross multiply
    301,914.98x = 415,922.57 × 211,101.02
  4. Step 4: Simplify right side
    301,914.98x = 87,801,678,768.02
  5. Step 5: Solve for x
    x = 87,801,678,768.02/301,914.98
  6. Step 6: Final answer
    x = 290,815.91

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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.