Finding the Fourth Proportional to 971,201.70, 1,456,284.15 and 409,601.70
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Solution
The fourth proportional to 971,201.70, 1,456,284.15 and 409,601.70 is: 614,183.92
Step by Step Solution
- Step 1: Write the proportion equation
971,201.70 : 1,456,284.15 = 409,601.70 : x - Step 2: Convert to fraction form
971,201.70/1,456,284.15 = 409,601.70/x - Step 3: Cross multiply
971,201.70x = 1,456,284.15 × 409,601.70 - Step 4: Simplify right side
971,201.70x = 596,496,463,523.06 - Step 5: Solve for x
x = 596,496,463,523.06/971,201.70 - Step 6: Final answer
x = 614,183.92
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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.