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Finding the Fourth Proportional to 321,302.94, 481,917.69 and 84,664.14

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Solution

The fourth proportional to 321,302.94, 481,917.69 and 84,664.14 is: 126,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302.94 : 481,917.69 = 84,664.14 : x
  2. Step 2: Convert to fraction form
    321,302.94/481,917.69 = 84,664.14/x
  3. Step 3: Cross multiply
    321,302.94x = 481,917.69 × 84,664.14
  4. Step 4: Simplify right side
    321,302.94x = 40,801,146,774.64
  5. Step 5: Solve for x
    x = 40,801,146,774.64/321,302.94
  6. Step 6: Final answer
    x = 126,986.53

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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.