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Finding the Fourth Proportional to 301,912.50, 415,919.12 and 211,098.54

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Solution

The fourth proportional to 301,912.50, 415,919.12 and 211,098.54 is: 290,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912.50 : 415,919.12 = 211,098.54 : x
  2. Step 2: Convert to fraction form
    301,912.50/415,919.12 = 211,098.54/x
  3. Step 3: Cross multiply
    301,912.50x = 415,919.12 × 211,098.54
  4. Step 4: Simplify right side
    301,912.50x = 87,799,918,990.08
  5. Step 5: Solve for x
    x = 87,799,918,990.08/301,912.50
  6. Step 6: Final answer
    x = 290,812.47

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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.