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Finding the Fourth Proportional to 298,857.60, 448,286.40 and 227,998.80

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Solution

The fourth proportional to 298,857.60, 448,286.40 and 227,998.80 is: 341,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,857.60 : 448,286.40 = 227,998.80 : x
  2. Step 2: Convert to fraction form
    298,857.60/448,286.40 = 227,998.80/x
  3. Step 3: Cross multiply
    298,857.60x = 448,286.40 × 227,998.80
  4. Step 4: Simplify right side
    298,857.60x = 102,208,761,256.32
  5. Step 5: Solve for x
    x = 102,208,761,256.32/298,857.60
  6. Step 6: Final answer
    x = 341,998.20

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1.5x scale

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.