Finding the Fourth Proportional to 734,906.09, 1,014,136.14 and 408,240.28
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Solution
The fourth proportional to 734,906.09, 1,014,136.14 and 408,240.28 is: 563,352.55
Step by Step Solution
- Step 1: Write the proportion equation
734,906.09 : 1,014,136.14 = 408,240.28 : x - Step 2: Convert to fraction form
734,906.09/1,014,136.14 = 408,240.28/x - Step 3: Cross multiply
734,906.09x = 1,014,136.14 × 408,240.28 - Step 4: Simplify right side
734,906.09x = 414,011,224,550.29 - Step 5: Solve for x
x = 414,011,224,550.29/734,906.09 - Step 6: Final answer
x = 563,352.55
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1.5x scale
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.