Finding the Fourth Proportional to 971,729.10, 1,457,593.65 and 306,881.10
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Solution
The fourth proportional to 971,729.10, 1,457,593.65 and 306,881.10 is: 460,321.65
Step by Step Solution
- Step 1: Write the proportion equation
971,729.10 : 1,457,593.65 = 306,881.10 : x - Step 2: Convert to fraction form
971,729.10/1,457,593.65 = 306,881.10/x - Step 3: Cross multiply
971,729.10x = 1,457,593.65 × 306,881.10 - Step 4: Simplify right side
971,729.10x = 447,307,942,665.02 - Step 5: Solve for x
x = 447,307,942,665.02/971,729.10 - Step 6: Final answer
x = 460,321.65
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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.