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Finding the Fourth Proportional to 396,002.73, 546,480.45 and 223,954.50

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Solution

The fourth proportional to 396,002.73, 546,480.45 and 223,954.50 is: 309,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,002.73 : 546,480.45 = 223,954.50 : x
  2. Step 2: Convert to fraction form
    396,002.73/546,480.45 = 223,954.50/x
  3. Step 3: Cross multiply
    396,002.73x = 546,480.45 × 223,954.50
  4. Step 4: Simplify right side
    396,002.73x = 122,386,755,939.53
  5. Step 5: Solve for x
    x = 122,386,755,939.53/396,002.73
  6. Step 6: Final answer
    x = 309,055.33

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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.