Finding the Fourth Proportional to 734,499.24, 1,102,214.94 and 313,778.28
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Solution
The fourth proportional to 734,499.24, 1,102,214.94 and 313,778.28 is: 470,866.53
Step by Step Solution
- Step 1: Write the proportion equation
734,499.24 : 1,102,214.94 = 313,778.28 : x - Step 2: Convert to fraction form
734,499.24/1,102,214.94 = 313,778.28/x - Step 3: Cross multiply
734,499.24x = 1,102,214.94 × 313,778.28 - Step 4: Simplify right side
734,499.24x = 345,851,108,063.50 - Step 5: Solve for x
x = 345,851,108,063.50/734,499.24 - Step 6: Final answer
x = 470,866.53
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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.