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Finding the Fourth Proportional to 311,222.91, 428,971.30 and 220,462.41

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Solution

The fourth proportional to 311,222.91, 428,971.30 and 220,462.41 is: 303,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,222.91 : 428,971.30 = 220,462.41 : x
  2. Step 2: Convert to fraction form
    311,222.91/428,971.30 = 220,462.41/x
  3. Step 3: Cross multiply
    311,222.91x = 428,971.30 × 220,462.41
  4. Step 4: Simplify right side
    311,222.91x = 94,572,046,618.83
  5. Step 5: Solve for x
    x = 94,572,046,618.83/311,222.91
  6. Step 6: Final answer
    x = 303,872.38

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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.