Finding the Fourth Proportional to 505,157,136,985.83, 757,735,714,232.93 and 122,698,635,165.18
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Solution
The fourth proportional to 505,157,136,985.83, 757,735,714,232.93 and 122,698,635,165.18 is: 184,047,954,874.09
Step by Step Solution
- Step 1: Write the proportion equation
505,157,136,985.83 : 757,735,714,232.93 = 122,698,635,165.18 : x - Step 2: Convert to fraction form
505,157,136,985.83/757,735,714,232.93 = 122,698,635,165.18/x - Step 3: Cross multiply
505,157,136,985.83x = 757,735,714,232.93 × 122,698,635,165.18 - Step 4: Simplify right side
505,157,136,985.83x = 92,973,137,952,293,372,559,360 - Step 5: Solve for x
x = 92,973,137,952,293,372,559,360/505,157,136,985.83 - Step 6: Final answer
x = 184,047,954,874.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.