Finding the Fourth Proportional to 505,816.14, 758,070.14 and 378,457.14
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Solution
The fourth proportional to 505,816.14, 758,070.14 and 378,457.14 is: 567,196.32
Step by Step Solution
- Step 1: Write the proportion equation
505,816.14 : 758,070.14 = 378,457.14 : x - Step 2: Convert to fraction form
505,816.14/758,070.14 = 378,457.14/x - Step 3: Cross multiply
505,816.14x = 758,070.14 × 378,457.14 - Step 4: Simplify right side
505,816.14x = 286,897,055,211.51 - Step 5: Solve for x
x = 286,897,055,211.51/505,816.14 - Step 6: Final answer
x = 567,196.32
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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.