Finding the Fourth Proportional to 829,409.70, 1,244,114.55 and 409,505.70
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Solution
The fourth proportional to 829,409.70, 1,244,114.55 and 409,505.70 is: 614,258.55
Step by Step Solution
- Step 1: Write the proportion equation
829,409.70 : 1,244,114.55 = 409,505.70 : x - Step 2: Convert to fraction form
829,409.70/1,244,114.55 = 409,505.70/x - Step 3: Cross multiply
829,409.70x = 1,244,114.55 × 409,505.70 - Step 4: Simplify right side
829,409.70x = 509,471,999,677.94 - Step 5: Solve for x
x = 509,471,999,677.94/829,409.70 - Step 6: Final answer
x = 614,258.55
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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.