Finding the Fourth Proportional to 726,986,420,897.48, 1,090,479,631,421.20 and 242,940,641,227.48
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Solution
The fourth proportional to 726,986,420,897.48, 1,090,479,631,421.20 and 242,940,641,227.48 is: 364,410,961,866.28
Step by Step Solution
- Step 1: Write the proportion equation
726,986,420,897.48 : 1,090,479,631,421.20 = 242,940,641,227.48 : x - Step 2: Convert to fraction form
726,986,420,897.48/1,090,479,631,421.20 = 242,940,641,227.48/x - Step 3: Cross multiply
726,986,420,897.48x = 1,090,479,631,421.20 × 242,940,641,227.48 - Step 4: Simplify right side
726,986,420,897.48x = 264,921,820,902,972,387,753,984 - Step 5: Solve for x
x = 264,921,820,902,972,387,753,984/726,986,420,897.48 - Step 6: Final answer
x = 364,410,961,866.28
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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.