Finding the Fourth Proportional to 477,724,299,690.65, 659,259,508,357.05 and 257,992,970,660.62
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Solution
The fourth proportional to 477,724,299,690.65, 659,259,508,357.05 and 257,992,970,660.62 is: 356,030,285,893.84
Step by Step Solution
- Step 1: Write the proportion equation
477,724,299,690.65 : 659,259,508,357.05 = 257,992,970,660.62 : x - Step 2: Convert to fraction form
477,724,299,690.65/659,259,508,357.05 = 257,992,970,660.62/x - Step 3: Cross multiply
477,724,299,690.65x = 659,259,508,357.05 × 257,992,970,660.62 - Step 4: Simplify right side
477,724,299,690.65x = 170,084,318,997,295,170,322,432 - Step 5: Solve for x
x = 170,084,318,997,295,170,322,432/477,724,299,690.65 - Step 6: Final answer
x = 356,030,285,893.84
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.