Finding the Fourth Proportional to 914,783,342,872.90, 1,264,212,282,154.20 and 749,724,521,943.75
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Solution
The fourth proportional to 914,783,342,872.90, 1,264,212,282,154.20 and 749,724,521,943.75 is: 1,036,104,293,172.69
Step by Step Solution
- Step 1: Write the proportion equation
914,783,342,872.90 : 1,264,212,282,154.20 = 749,724,521,943.75 : x - Step 2: Convert to fraction form
914,783,342,872.90/1,264,212,282,154.20 = 749,724,521,943.75/x - Step 3: Cross multiply
914,783,342,872.90x = 1,264,212,282,154.20 × 749,724,521,943.75 - Step 4: Simplify right side
914,783,342,872.90x = 947,810,948,873,474,690,514,944 - Step 5: Solve for x
x = 947,810,948,873,474,690,514,944/914,783,342,872.90 - Step 6: Final answer
x = 1,036,104,293,172.69
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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.