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Finding the Fourth Proportional to 321,138.89, 481,557.49 and 186,241.31

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Solution

The fourth proportional to 321,138.89, 481,557.49 and 186,241.31 is: 279,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,138.89 : 481,557.49 = 186,241.31 : x
  2. Step 2: Convert to fraction form
    321,138.89/481,557.49 = 186,241.31/x
  3. Step 3: Cross multiply
    321,138.89x = 481,557.49 × 186,241.31
  4. Step 4: Simplify right side
    321,138.89x = 89,685,896,710.36
  5. Step 5: Solve for x
    x = 89,685,896,710.36/321,138.89
  6. Step 6: Final answer
    x = 279,274.48

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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.