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Finding the Fourth Proportional to 301,909.05, 416,999.87 and 220,107.75

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Solution

The fourth proportional to 301,909.05, 416,999.87 and 220,107.75 is: 304,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,909.05 : 416,999.87 = 220,107.75 : x
  2. Step 2: Convert to fraction form
    301,909.05/416,999.87 = 220,107.75/x
  3. Step 3: Cross multiply
    301,909.05x = 416,999.87 × 220,107.75
  4. Step 4: Simplify right side
    301,909.05x = 91,784,902,035.45
  5. Step 5: Solve for x
    x = 91,784,902,035.45/301,909.05
  6. Step 6: Final answer
    x = 304,015.07

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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.