Finding the Fourth Proportional to 734,821.84, 1,102,478.19 and 285,557.38
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Solution
The fourth proportional to 734,821.84, 1,102,478.19 and 285,557.38 is: 428,431.45
Step by Step Solution
- Step 1: Write the proportion equation
734,821.84 : 1,102,478.19 = 285,557.38 : x - Step 2: Convert to fraction form
734,821.84/1,102,478.19 = 285,557.38/x - Step 3: Cross multiply
734,821.84x = 1,102,478.19 × 285,557.38 - Step 4: Simplify right side
734,821.84x = 314,820,783,443.54 - Step 5: Solve for x
x = 314,820,783,443.54/734,821.84 - Step 6: Final answer
x = 428,431.45
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1.5x scale
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.