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Finding the Fourth Proportional to 396,669.74, 547,413.74 and 215,389.31

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Solution

The fourth proportional to 396,669.74, 547,413.74 and 215,389.31 is: 297,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669.74 : 547,413.74 = 215,389.31 : x
  2. Step 2: Convert to fraction form
    396,669.74/547,413.74 = 215,389.31/x
  3. Step 3: Cross multiply
    396,669.74x = 547,413.74 × 215,389.31
  4. Step 4: Simplify right side
    396,669.74x = 117,907,067,743.12
  5. Step 5: Solve for x
    x = 117,907,067,743.12/396,669.74
  6. Step 6: Final answer
    x = 297,242.41

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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.