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Finding the Fourth Proportional to 396,328.32, 546,915.78 and 226,573.38

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Solution

The fourth proportional to 396,328.32, 546,915.78 and 226,573.38 is: 312,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,328.32 : 546,915.78 = 226,573.38 : x
  2. Step 2: Convert to fraction form
    396,328.32/546,915.78 = 226,573.38/x
  3. Step 3: Cross multiply
    396,328.32x = 546,915.78 × 226,573.38
  4. Step 4: Simplify right side
    396,328.32x = 123,916,556,849.94
  5. Step 5: Solve for x
    x = 123,916,556,849.94/396,328.32
  6. Step 6: Final answer
    x = 312,661.37

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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.