Finding the Fourth Proportional to 821,394.19, 1,232,090.59 and 309,155.05
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Solution
The fourth proportional to 821,394.19, 1,232,090.59 and 309,155.05 is: 463,732.31
Step by Step Solution
- Step 1: Write the proportion equation
821,394.19 : 1,232,090.59 = 309,155.05 : x - Step 2: Convert to fraction form
821,394.19/1,232,090.59 = 309,155.05/x - Step 3: Cross multiply
821,394.19x = 1,232,090.59 × 309,155.05 - Step 4: Simplify right side
821,394.19x = 380,907,027,955.98 - Step 5: Solve for x
x = 380,907,027,955.98/821,394.19 - Step 6: Final answer
x = 463,732.31
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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.