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Finding the Fourth Proportional to 203,090.40, 303,944.40 and 178,207.20

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Solution

The fourth proportional to 203,090.40, 303,944.40 and 178,207.20 is: 266,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,090.40 : 303,944.40 = 178,207.20 : x
  2. Step 2: Convert to fraction form
    203,090.40/303,944.40 = 178,207.20/x
  3. Step 3: Cross multiply
    203,090.40x = 303,944.40 × 178,207.20
  4. Step 4: Simplify right side
    203,090.40x = 54,165,080,479.68
  5. Step 5: Solve for x
    x = 54,165,080,479.68/203,090.40
  6. Step 6: Final answer
    x = 266,704.29

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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.