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Finding the Fourth Proportional to 321,457.77, 443,622.24 and 178,231.14

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Solution

The fourth proportional to 321,457.77, 443,622.24 and 178,231.14 is: 245,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,457.77 : 443,622.24 = 178,231.14 : x
  2. Step 2: Convert to fraction form
    321,457.77/443,622.24 = 178,231.14/x
  3. Step 3: Cross multiply
    321,457.77x = 443,622.24 × 178,231.14
  4. Step 4: Simplify right side
    321,457.77x = 79,067,297,564.55
  5. Step 5: Solve for x
    x = 79,067,297,564.55/321,457.77
  6. Step 6: Final answer
    x = 245,964.80

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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.