Finding the Fourth Proportional to 803,916,220,316.31, 1,206,230,431,920.90 and 421,369,381,672.47
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Solution
The fourth proportional to 803,916,220,316.31, 1,206,230,431,920.90 and 421,369,381,672.47 is: 632,240,721,617.79
Step by Step Solution
- Step 1: Write the proportion equation
803,916,220,316.31 : 1,206,230,431,920.90 = 421,369,381,672.47 : x - Step 2: Convert to fraction form
803,916,220,316.31/1,206,230,431,920.90 = 421,369,381,672.47/x - Step 3: Cross multiply
803,916,220,316.31x = 1,206,230,431,920.90 × 421,369,381,672.47 - Step 4: Simplify right side
803,916,220,316.31x = 508,268,571,253,025,970,061,312 - Step 5: Solve for x
x = 508,268,571,253,025,970,061,312/803,916,220,316.31 - Step 6: Final answer
x = 632,240,721,617.79
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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.