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Finding the Fourth Proportional to 298,680.67, 447,751.97 and 109,007.94

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Solution

The fourth proportional to 298,680.67, 447,751.97 and 109,007.94 is: 163,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,680.67 : 447,751.97 = 109,007.94 : x
  2. Step 2: Convert to fraction form
    298,680.67/447,751.97 = 109,007.94/x
  3. Step 3: Cross multiply
    298,680.67x = 447,751.97 × 109,007.94
  4. Step 4: Simplify right side
    298,680.67x = 48,808,521,423.45
  5. Step 5: Solve for x
    x = 48,808,521,423.45/298,680.67
  6. Step 6: Final answer
    x = 163,413.73

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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.