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Finding the Fourth Proportional to 396,391.68, 546,838.56 and 253,080

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Solution

The fourth proportional to 396,391.68, 546,838.56 and 253,080 is: 349,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,391.68 : 546,838.56 = 253,080 : x
  2. Step 2: Convert to fraction form
    396,391.68/546,838.56 = 253,080/x
  3. Step 3: Cross multiply
    396,391.68x = 546,838.56 × 253,080
  4. Step 4: Simplify right side
    396,391.68x = 138,393,902,764.80
  5. Step 5: Solve for x
    x = 138,393,902,764.80/396,391.68
  6. Step 6: Final answer
    x = 349,134.23

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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.