Finding the Fourth Proportional to 916,396,402.14, 1,264,893,520.14 and 598,904,408.88
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Solution
The fourth proportional to 916,396,402.14, 1,264,893,520.14 and 598,904,408.88 is: 826,662,243.77
Step by Step Solution
- Step 1: Write the proportion equation
916,396,402.14 : 1,264,893,520.14 = 598,904,408.88 : x - Step 2: Convert to fraction form
916,396,402.14/1,264,893,520.14 = 598,904,408.88/x - Step 3: Cross multiply
916,396,402.14x = 1,264,893,520.14 × 598,904,408.88 - Step 4: Simplify right side
916,396,402.14x = 757,550,305,975,589,120 - Step 5: Solve for x
x = 757,550,305,975,589,120/916,396,402.14 - Step 6: Final answer
x = 826,662,243.77
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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.