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Finding the Fourth Proportional to 419,381.55, 628,450.25 and 308,029.23

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Solution

The fourth proportional to 419,381.55, 628,450.25 and 308,029.23 is: 461,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,381.55 : 628,450.25 = 308,029.23 : x
  2. Step 2: Convert to fraction form
    419,381.55/628,450.25 = 308,029.23/x
  3. Step 3: Cross multiply
    419,381.55x = 628,450.25 × 308,029.23
  4. Step 4: Simplify right side
    419,381.55x = 193,581,045,060.66
  5. Step 5: Solve for x
    x = 193,581,045,060.66/419,381.55
  6. Step 6: Final answer
    x = 461,586.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.