Finding the Fourth Proportional to 242,283,998.90, 363,425,998.35 and 145,538,117.30
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Solution
The fourth proportional to 242,283,998.90, 363,425,998.35 and 145,538,117.30 is: 218,307,175.95
Step by Step Solution
- Step 1: Write the proportion equation
242,283,998.90 : 363,425,998.35 = 145,538,117.30 : x - Step 2: Convert to fraction form
242,283,998.90/363,425,998.35 = 145,538,117.30/x - Step 3: Cross multiply
242,283,998.90x = 363,425,998.35 × 145,538,117.30 - Step 4: Simplify right side
242,283,998.90x = 52,892,335,577,731,912 - Step 5: Solve for x
x = 52,892,335,577,731,912/242,283,998.90 - Step 6: Final answer
x = 218,307,175.95
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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.