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Finding the Fourth Proportional to 298,640.90, 447,961.35 and 264,815.30

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Solution

The fourth proportional to 298,640.90, 447,961.35 and 264,815.30 is: 397,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,640.90 : 447,961.35 = 264,815.30 : x
  2. Step 2: Convert to fraction form
    298,640.90/447,961.35 = 264,815.30/x
  3. Step 3: Cross multiply
    298,640.90x = 447,961.35 × 264,815.30
  4. Step 4: Simplify right side
    298,640.90x = 118,627,019,288.66
  5. Step 5: Solve for x
    x = 118,627,019,288.66/298,640.90
  6. Step 6: Final answer
    x = 397,222.95

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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.