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Finding the Fourth Proportional to 298,857.40, 448,286.10 and 197,380.60

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Solution

The fourth proportional to 298,857.40, 448,286.10 and 197,380.60 is: 296,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,857.40 : 448,286.10 = 197,380.60 : x
  2. Step 2: Convert to fraction form
    298,857.40/448,286.10 = 197,380.60/x
  3. Step 3: Cross multiply
    298,857.40x = 448,286.10 × 197,380.60
  4. Step 4: Simplify right side
    298,857.40x = 88,482,979,389.66
  5. Step 5: Solve for x
    x = 88,482,979,389.66/298,857.40
  6. Step 6: Final answer
    x = 296,070.90

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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.