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Finding the Fourth Proportional to 321,678.45, 443,880.45 and 178,402.59

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Solution

The fourth proportional to 321,678.45, 443,880.45 and 178,402.59 is: 246,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678.45 : 443,880.45 = 178,402.59 : x
  2. Step 2: Convert to fraction form
    321,678.45/443,880.45 = 178,402.59/x
  3. Step 3: Cross multiply
    321,678.45x = 443,880.45 × 178,402.59
  4. Step 4: Simplify right side
    321,678.45x = 79,189,421,930.37
  5. Step 5: Solve for x
    x = 79,189,421,930.37/321,678.45
  6. Step 6: Final answer
    x = 246,175.71

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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.