Finding the Fourth Proportional to 1,199,606,135.36, 1,799,488,157.78 and 314,313,172.36
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Solution
The fourth proportional to 1,199,606,135.36, 1,799,488,157.78 and 314,313,172.36 is: 471,490,445.76
Step by Step Solution
- Step 1: Write the proportion equation
1,199,606,135.36 : 1,799,488,157.78 = 314,313,172.36 : x - Step 2: Convert to fraction form
1,199,606,135.36/1,799,488,157.78 = 314,313,172.36/x - Step 3: Cross multiply
1,199,606,135.36x = 1,799,488,157.78 × 314,313,172.36 - Step 4: Simplify right side
1,199,606,135.36x = 565,602,831,496,084,032 - Step 5: Solve for x
x = 565,602,831,496,084,032/1,199,606,135.36 - Step 6: Final answer
x = 471,490,445.76
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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.