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Finding the Fourth Proportional to 298,837.44, 448,309.80 and 99,120.60

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Solution

The fourth proportional to 298,837.44, 448,309.80 and 99,120.60 is: 148,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,837.44 : 448,309.80 = 99,120.60 : x
  2. Step 2: Convert to fraction form
    298,837.44/448,309.80 = 99,120.60/x
  3. Step 3: Cross multiply
    298,837.44x = 448,309.80 × 99,120.60
  4. Step 4: Simplify right side
    298,837.44x = 44,436,736,361.88
  5. Step 5: Solve for x
    x = 44,436,736,361.88/298,837.44
  6. Step 6: Final answer
    x = 148,698.69

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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.