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Finding the Fourth Proportional to 298,090.10, 447,135.15 and 84,857.60

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Solution

The fourth proportional to 298,090.10, 447,135.15 and 84,857.60 is: 127,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,090.10 : 447,135.15 = 84,857.60 : x
  2. Step 2: Convert to fraction form
    298,090.10/447,135.15 = 84,857.60/x
  3. Step 3: Cross multiply
    298,090.10x = 447,135.15 × 84,857.60
  4. Step 4: Simplify right side
    298,090.10x = 37,942,815,704.64
  5. Step 5: Solve for x
    x = 37,942,815,704.64/298,090.10
  6. Step 6: Final answer
    x = 127,286.40

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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.