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Finding the Fourth Proportional to 274,891.41, 412,401.65 and 85,342.10

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Solution

The fourth proportional to 274,891.41, 412,401.65 and 85,342.10 is: 128,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,891.41 : 412,401.65 = 85,342.10 : x
  2. Step 2: Convert to fraction form
    274,891.41/412,401.65 = 85,342.10/x
  3. Step 3: Cross multiply
    274,891.41x = 412,401.65 × 85,342.10
  4. Step 4: Simplify right side
    274,891.41x = 35,195,220,365.75
  5. Step 5: Solve for x
    x = 35,195,220,365.75/274,891.41
  6. Step 6: Final answer
    x = 128,033.18

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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.