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Finding the Fourth Proportional to 321,325.86, 443,429.72 and 178,095.14

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Solution

The fourth proportional to 321,325.86, 443,429.72 and 178,095.14 is: 245,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,325.86 : 443,429.72 = 178,095.14 : x
  2. Step 2: Convert to fraction form
    321,325.86/443,429.72 = 178,095.14/x
  3. Step 3: Cross multiply
    321,325.86x = 443,429.72 × 178,095.14
  4. Step 4: Simplify right side
    321,325.86x = 78,972,678,063.56
  5. Step 5: Solve for x
    x = 78,972,678,063.56/321,325.86
  6. Step 6: Final answer
    x = 245,771.31

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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.