Finding the Fourth Proportional to 513,114.18, 708,098.64 and 286,759.68
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Solution
The fourth proportional to 513,114.18, 708,098.64 and 286,759.68 is: 395,728.96
Step by Step Solution
- Step 1: Write the proportion equation
513,114.18 : 708,098.64 = 286,759.68 : x - Step 2: Convert to fraction form
513,114.18/708,098.64 = 286,759.68/x - Step 3: Cross multiply
513,114.18x = 708,098.64 × 286,759.68 - Step 4: Simplify right side
513,114.18x = 203,054,139,414.84 - Step 5: Solve for x
x = 203,054,139,414.84/513,114.18 - Step 6: Final answer
x = 395,728.96
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.