Finding the Fourth Proportional to 916,396,403.14, 1,264,893,521.52 and 598,904,409.88
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Solution
The fourth proportional to 916,396,403.14, 1,264,893,521.52 and 598,904,409.88 is: 826,662,245.15
Step by Step Solution
- Step 1: Write the proportion equation
916,396,403.14 : 1,264,893,521.52 = 598,904,409.88 : x - Step 2: Convert to fraction form
916,396,403.14/1,264,893,521.52 = 598,904,409.88/x - Step 3: Cross multiply
916,396,403.14x = 1,264,893,521.52 × 598,904,409.88 - Step 4: Simplify right side
916,396,403.14x = 757,550,308,066,970,624 - Step 5: Solve for x
x = 757,550,308,066,970,624/916,396,403.14 - Step 6: Final answer
x = 826,662,245.15
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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.