Finding the Fourth Proportional to 405,742.40, 608,985.60 and 206,201.60
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Solution
The fourth proportional to 405,742.40, 608,985.60 and 206,201.60 is: 309,491.45
Step by Step Solution
- Step 1: Write the proportion equation
405,742.40 : 608,985.60 = 206,201.60 : x - Step 2: Convert to fraction form
405,742.40/608,985.60 = 206,201.60/x - Step 3: Cross multiply
405,742.40x = 608,985.60 × 206,201.60 - Step 4: Simplify right side
405,742.40x = 125,573,805,096.96 - Step 5: Solve for x
x = 125,573,805,096.96/405,742.40 - Step 6: Final answer
x = 309,491.45
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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.