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Finding the Fourth Proportional to 296,954, 445,456.96 and 75,338

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Solution

The fourth proportional to 296,954, 445,456.96 and 75,338 is: 113,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,954 : 445,456.96 = 75,338 : x
  2. Step 2: Convert to fraction form
    296,954/445,456.96 = 75,338/x
  3. Step 3: Cross multiply
    296,954x = 445,456.96 × 75,338
  4. Step 4: Simplify right side
    296,954x = 33,559,836,452.48
  5. Step 5: Solve for x
    x = 33,559,836,452.48/296,954
  6. Step 6: Final answer
    x = 113,013.59

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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.