Finding the Fourth Proportional to 270,716,505,565.70, 406,074,758,348.55 and 145,192,267,129.70
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Solution
The fourth proportional to 270,716,505,565.70, 406,074,758,348.55 and 145,192,267,129.70 is: 217,788,400,694.55
Step by Step Solution
- Step 1: Write the proportion equation
270,716,505,565.70 : 406,074,758,348.55 = 145,192,267,129.70 : x - Step 2: Convert to fraction form
270,716,505,565.70/406,074,758,348.55 = 145,192,267,129.70/x - Step 3: Cross multiply
270,716,505,565.70x = 406,074,758,348.55 × 145,192,267,129.70 - Step 4: Simplify right side
270,716,505,565.70x = 58,958,914,788,771,051,339,776 - Step 5: Solve for x
x = 58,958,914,788,771,051,339,776/270,716,505,565.70 - Step 6: Final answer
x = 217,788,400,694.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.