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Finding the Fourth Proportional to 311,489.91, 465,528.24 and 227,427.30

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Solution

The fourth proportional to 311,489.91, 465,528.24 and 227,427.30 is: 339,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,489.91 : 465,528.24 = 227,427.30 : x
  2. Step 2: Convert to fraction form
    311,489.91/465,528.24 = 227,427.30/x
  3. Step 3: Cross multiply
    311,489.91x = 465,528.24 × 227,427.30
  4. Step 4: Simplify right side
    311,489.91x = 105,873,830,696.95
  5. Step 5: Solve for x
    x = 105,873,830,696.95/311,489.91
  6. Step 6: Final answer
    x = 339,894.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.