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Finding the Fourth Proportional to 202,885, 304,268 and 76,434

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Solution

The fourth proportional to 202,885, 304,268 and 76,434 is: 114,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,885 : 304,268 = 76,434 : x
  2. Step 2: Convert to fraction form
    202,885/304,268 = 76,434/x
  3. Step 3: Cross multiply
    202,885x = 304,268 × 76,434
  4. Step 4: Simplify right side
    202,885x = 23,256,420,312
  5. Step 5: Solve for x
    x = 23,256,420,312/202,885
  6. Step 6: Final answer
    x = 114,628.58

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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.