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Finding the Fourth Proportional to 298,936.40, 448,404.60 and 198,771.80

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Solution

The fourth proportional to 298,936.40, 448,404.60 and 198,771.80 is: 298,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,936.40 : 448,404.60 = 198,771.80 : x
  2. Step 2: Convert to fraction form
    298,936.40/448,404.60 = 198,771.80/x
  3. Step 3: Cross multiply
    298,936.40x = 448,404.60 × 198,771.80
  4. Step 4: Simplify right side
    298,936.40x = 89,130,189,470.28
  5. Step 5: Solve for x
    x = 89,130,189,470.28/298,936.40
  6. Step 6: Final answer
    x = 298,157.70

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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.