Finding the Fourth Proportional to 513,205.81, 708,211.45 and 283,757.05
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Solution
The fourth proportional to 513,205.81, 708,211.45 and 283,757.05 is: 391,577.78
Step by Step Solution
- Step 1: Write the proportion equation
513,205.81 : 708,211.45 = 283,757.05 : x - Step 2: Convert to fraction form
513,205.81/708,211.45 = 283,757.05/x - Step 3: Cross multiply
513,205.81x = 708,211.45 × 283,757.05 - Step 4: Simplify right side
513,205.81x = 200,959,991,828.22 - Step 5: Solve for x
x = 200,959,991,828.22/513,205.81 - Step 6: Final answer
x = 391,577.78
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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.