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Finding the Fourth Proportional to 227,896.76, 314,318.22 and 212,618

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Solution

The fourth proportional to 227,896.76, 314,318.22 and 212,618 is: 293,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,896.76 : 314,318.22 = 212,618 : x
  2. Step 2: Convert to fraction form
    227,896.76/314,318.22 = 212,618/x
  3. Step 3: Cross multiply
    227,896.76x = 314,318.22 × 212,618
  4. Step 4: Simplify right side
    227,896.76x = 66,829,711,299.96
  5. Step 5: Solve for x
    x = 66,829,711,299.96/227,896.76
  6. Step 6: Final answer
    x = 293,245.55

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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.