Finding the Fourth Proportional to 734,833.41, 1,013,991.78 and 412,578.96
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Solution
The fourth proportional to 734,833.41, 1,013,991.78 and 412,578.96 is: 569,314.99
Step by Step Solution
- Step 1: Write the proportion equation
734,833.41 : 1,013,991.78 = 412,578.96 : x - Step 2: Convert to fraction form
734,833.41/1,013,991.78 = 412,578.96/x - Step 3: Cross multiply
734,833.41x = 1,013,991.78 × 412,578.96 - Step 4: Simplify right side
734,833.41x = 418,351,674,040.95 - Step 5: Solve for x
x = 418,351,674,040.95/734,833.41 - Step 6: Final answer
x = 569,314.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.