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Finding the Fourth Proportional to 274,145.79, 378,401.64 and 159,451.41

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Solution

The fourth proportional to 274,145.79, 378,401.64 and 159,451.41 is: 220,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,145.79 : 378,401.64 = 159,451.41 : x
  2. Step 2: Convert to fraction form
    274,145.79/378,401.64 = 159,451.41/x
  3. Step 3: Cross multiply
    274,145.79x = 378,401.64 × 159,451.41
  4. Step 4: Simplify right side
    274,145.79x = 60,336,675,044.31
  5. Step 5: Solve for x
    x = 60,336,675,044.31/274,145.79
  6. Step 6: Final answer
    x = 220,089.74

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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.