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Finding the Fourth Proportional to 227,940.80, 314,378.96 and 212,662.08

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Solution

The fourth proportional to 227,940.80, 314,378.96 and 212,662.08 is: 293,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,940.80 : 314,378.96 = 212,662.08 : x
  2. Step 2: Convert to fraction form
    227,940.80/314,378.96 = 212,662.08/x
  3. Step 3: Cross multiply
    227,940.80x = 314,378.96 × 212,662.08
  4. Step 4: Simplify right side
    227,940.80x = 66,856,483,541.84
  5. Step 5: Solve for x
    x = 66,856,483,541.84/227,940.80
  6. Step 6: Final answer
    x = 293,306.35

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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.