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Finding the Fourth Proportional to 321,421.54, 443,553.69 and 178,181.14

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Solution

The fourth proportional to 321,421.54, 443,553.69 and 178,181.14 is: 245,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,421.54 : 443,553.69 = 178,181.14 : x
  2. Step 2: Convert to fraction form
    321,421.54/443,553.69 = 178,181.14/x
  3. Step 3: Cross multiply
    321,421.54x = 443,553.69 × 178,181.14
  4. Step 4: Simplify right side
    321,421.54x = 79,032,902,135.41
  5. Step 5: Solve for x
    x = 79,032,902,135.41/321,421.54
  6. Step 6: Final answer
    x = 245,885.52

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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.