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Finding the Fourth Proportional to 396,413.31, 547,051.80 and 215,125.20

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Solution

The fourth proportional to 396,413.31, 547,051.80 and 215,125.20 is: 296,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,413.31 : 547,051.80 = 215,125.20 : x
  2. Step 2: Convert to fraction form
    396,413.31/547,051.80 = 215,125.20/x
  3. Step 3: Cross multiply
    396,413.31x = 547,051.80 × 215,125.20
  4. Step 4: Simplify right side
    396,413.31x = 117,684,627,885.36
  5. Step 5: Solve for x
    x = 117,684,627,885.36/396,413.31
  6. Step 6: Final answer
    x = 296,873.55

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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.