Finding the Fourth Proportional to 512,497.96, 707,246.98 and 286,143.40
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Solution
The fourth proportional to 512,497.96, 707,246.98 and 286,143.40 is: 394,877.78
Step by Step Solution
- Step 1: Write the proportion equation
512,497.96 : 707,246.98 = 286,143.40 : x - Step 2: Convert to fraction form
512,497.96/707,246.98 = 286,143.40/x - Step 3: Cross multiply
512,497.96x = 707,246.98 × 286,143.40 - Step 4: Simplify right side
512,497.96x = 202,374,055,496.93 - Step 5: Solve for x
x = 202,374,055,496.93/512,497.96 - Step 6: Final answer
x = 394,877.78
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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.