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Finding the Fourth Proportional to 227,912.76, 314,340.30 and 212,634

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Solution

The fourth proportional to 227,912.76, 314,340.30 and 212,634 is: 293,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,912.76 : 314,340.30 = 212,634 : x
  2. Step 2: Convert to fraction form
    227,912.76/314,340.30 = 212,634/x
  3. Step 3: Cross multiply
    227,912.76x = 314,340.30 × 212,634
  4. Step 4: Simplify right side
    227,912.76x = 66,839,435,350.20
  5. Step 5: Solve for x
    x = 66,839,435,350.20/227,912.76
  6. Step 6: Final answer
    x = 293,267.63

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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.