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Finding the Fourth Proportional to 298,311.30, 447,078.15 and 138,368.70

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Solution

The fourth proportional to 298,311.30, 447,078.15 and 138,368.70 is: 207,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,311.30 : 447,078.15 = 138,368.70 : x
  2. Step 2: Convert to fraction form
    298,311.30/447,078.15 = 138,368.70/x
  3. Step 3: Cross multiply
    298,311.30x = 447,078.15 × 138,368.70
  4. Step 4: Simplify right side
    298,311.30x = 61,861,622,413.91
  5. Step 5: Solve for x
    x = 61,861,622,413.91/298,311.30
  6. Step 6: Final answer
    x = 207,372.71

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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.