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Finding the Fourth Proportional to 321,454.44, 443,597.40 and 178,206.12

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Solution

The fourth proportional to 321,454.44, 443,597.40 and 178,206.12 is: 245,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,454.44 : 443,597.40 = 178,206.12 : x
  2. Step 2: Convert to fraction form
    321,454.44/443,597.40 = 178,206.12/x
  3. Step 3: Cross multiply
    321,454.44x = 443,597.40 × 178,206.12
  4. Step 4: Simplify right side
    321,454.44x = 79,051,771,496.09
  5. Step 5: Solve for x
    x = 79,051,771,496.09/321,454.44
  6. Step 6: Final answer
    x = 245,919.05

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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.