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Finding the Fourth Proportional to 321,416.49, 443,524.95 and 178,164.36

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Solution

The fourth proportional to 321,416.49, 443,524.95 and 178,164.36 is: 245,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.49 : 443,524.95 = 178,164.36 : x
  2. Step 2: Convert to fraction form
    321,416.49/443,524.95 = 178,164.36/x
  3. Step 3: Cross multiply
    321,416.49x = 443,524.95 × 178,164.36
  4. Step 4: Simplify right side
    321,416.49x = 79,020,338,860.78
  5. Step 5: Solve for x
    x = 79,020,338,860.78/321,416.49
  6. Step 6: Final answer
    x = 245,850.29

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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.