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Finding the Fourth Proportional to 298,892.43, 448,418.23 and 121,302.56

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Solution

The fourth proportional to 298,892.43, 448,418.23 and 121,302.56 is: 181,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,892.43 : 448,418.23 = 121,302.56 : x
  2. Step 2: Convert to fraction form
    298,892.43/448,418.23 = 121,302.56/x
  3. Step 3: Cross multiply
    298,892.43x = 448,418.23 × 121,302.56
  4. Step 4: Simplify right side
    298,892.43x = 54,394,280,067.46
  5. Step 5: Solve for x
    x = 54,394,280,067.46/298,892.43
  6. Step 6: Final answer
    x = 181,986.14

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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.