Finding the Fourth Proportional to 230,264,734.21, 345,298,784.73 and 133,287,380.53
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Solution
The fourth proportional to 230,264,734.21, 345,298,784.73 and 133,287,380.53 is: 199,874,160.82
Step by Step Solution
- Step 1: Write the proportion equation
230,264,734.21 : 345,298,784.73 = 133,287,380.53 : x - Step 2: Convert to fraction form
230,264,734.21/345,298,784.73 = 133,287,380.53/x - Step 3: Cross multiply
230,264,734.21x = 345,298,784.73 × 133,287,380.53 - Step 4: Simplify right side
230,264,734.21x = 46,023,970,516,854,064 - Step 5: Solve for x
x = 46,023,970,516,854,064/230,264,734.21 - Step 6: Final answer
x = 199,874,160.82
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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.