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Finding the Fourth Proportional to 450,199.20, 674,391.60 and 281,200.80

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Solution

The fourth proportional to 450,199.20, 674,391.60 and 281,200.80 is: 421,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,199.20 : 674,391.60 = 281,200.80 : x
  2. Step 2: Convert to fraction form
    450,199.20/674,391.60 = 281,200.80/x
  3. Step 3: Cross multiply
    450,199.20x = 674,391.60 × 281,200.80
  4. Step 4: Simplify right side
    450,199.20x = 189,639,457,433.28
  5. Step 5: Solve for x
    x = 189,639,457,433.28/450,199.20
  6. Step 6: Final answer
    x = 421,234.55

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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.