Finding the Fourth Proportional to 257,212,982,642.58, 354,954,210,321.52 and 143,025,151,986.99
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Solution
The fourth proportional to 257,212,982,642.58, 354,954,210,321.52 and 143,025,151,986.99 is: 197,374,873,375.67
Step by Step Solution
- Step 1: Write the proportion equation
257,212,982,642.58 : 354,954,210,321.52 = 143,025,151,986.99 : x - Step 2: Convert to fraction form
257,212,982,642.58/354,954,210,321.52 = 143,025,151,986.99/x - Step 3: Cross multiply
257,212,982,642.58x = 354,954,210,321.52 × 143,025,151,986.99 - Step 4: Simplify right side
257,212,982,642.58x = 50,767,379,879,657,415,376,896 - Step 5: Solve for x
x = 50,767,379,879,657,415,376,896/257,212,982,642.58 - Step 6: Final answer
x = 197,374,873,375.67
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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.