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Finding the Fourth Proportional to 300,873.78, 415,151.37 and 193,419.18

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Solution

The fourth proportional to 300,873.78, 415,151.37 and 193,419.18 is: 266,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,873.78 : 415,151.37 = 193,419.18 : x
  2. Step 2: Convert to fraction form
    300,873.78/415,151.37 = 193,419.18/x
  3. Step 3: Cross multiply
    300,873.78x = 415,151.37 × 193,419.18
  4. Step 4: Simplify right side
    300,873.78x = 80,298,237,561.28
  5. Step 5: Solve for x
    x = 80,298,237,561.28/300,873.78
  6. Step 6: Final answer
    x = 266,883.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.