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Finding the Fourth Proportional to 263,413.80, 393,954.30 and 221,423.40

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Solution

The fourth proportional to 263,413.80, 393,954.30 and 221,423.40 is: 331,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,413.80 : 393,954.30 = 221,423.40 : x
  2. Step 2: Convert to fraction form
    263,413.80/393,954.30 = 221,423.40/x
  3. Step 3: Cross multiply
    263,413.80x = 393,954.30 × 221,423.40
  4. Step 4: Simplify right side
    263,413.80x = 87,230,700,550.62
  5. Step 5: Solve for x
    x = 87,230,700,550.62/263,413.80
  6. Step 6: Final answer
    x = 331,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.