Finding the Fourth Proportional to 734,837.41, 1,014,134.21 and 412,568.65
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Solution
The fourth proportional to 734,837.41, 1,014,134.21 and 412,568.65 is: 569,377.63
Step by Step Solution
- Step 1: Write the proportion equation
734,837.41 : 1,014,134.21 = 412,568.65 : x - Step 2: Convert to fraction form
734,837.41/1,014,134.21 = 412,568.65/x - Step 3: Cross multiply
734,837.41x = 1,014,134.21 × 412,568.65 - Step 4: Simplify right side
734,837.41x = 418,399,981,938.52 - Step 5: Solve for x
x = 418,399,981,938.52/734,837.41 - Step 6: Final answer
x = 569,377.63
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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.