Finding the Fourth Proportional to 857,809.42, 1,286,723.34 and 258,775.76
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Solution
The fourth proportional to 857,809.42, 1,286,723.34 and 258,775.76 is: 388,166.42
Step by Step Solution
- Step 1: Write the proportion equation
857,809.42 : 1,286,723.34 = 258,775.76 : x - Step 2: Convert to fraction form
857,809.42/1,286,723.34 = 258,775.76/x - Step 3: Cross multiply
857,809.42x = 1,286,723.34 × 258,775.76 - Step 4: Simplify right side
857,809.42x = 332,972,813,435.05 - Step 5: Solve for x
x = 332,972,813,435.05/857,809.42 - Step 6: Final answer
x = 388,166.42
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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.