Finding the Fourth Proportional to 303,281,988,078.80, 418,542,299,702.76 and 167,951,168,514.99
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Solution
The fourth proportional to 303,281,988,078.80, 418,542,299,702.76 and 167,951,168,514.99 is: 231,779,898,151.31
Step by Step Solution
- Step 1: Write the proportion equation
303,281,988,078.80 : 418,542,299,702.76 = 167,951,168,514.99 : x - Step 2: Convert to fraction form
303,281,988,078.80/418,542,299,702.76 = 167,951,168,514.99/x - Step 3: Cross multiply
303,281,988,078.80x = 418,542,299,702.76 × 167,951,168,514.99 - Step 4: Simplify right side
303,281,988,078.80x = 70,294,668,308,029,693,231,104 - Step 5: Solve for x
x = 70,294,668,308,029,693,231,104/303,281,988,078.80 - Step 6: Final answer
x = 231,779,898,151.31
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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.