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Finding the Fourth Proportional to 321,481.46, 443,642.28 and 178,241.54

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Solution

The fourth proportional to 321,481.46, 443,642.28 and 178,241.54 is: 245,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,481.46 : 443,642.28 = 178,241.54 : x
  2. Step 2: Convert to fraction form
    321,481.46/443,642.28 = 178,241.54/x
  3. Step 3: Cross multiply
    321,481.46x = 443,642.28 × 178,241.54
  4. Step 4: Simplify right side
    321,481.46x = 79,075,483,196.31
  5. Step 5: Solve for x
    x = 79,075,483,196.31/321,481.46
  6. Step 6: Final answer
    x = 245,972.14

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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.