Finding the Fourth Proportional to 822,830,144,262.98, 1,234,404,162,737 and 312,849,259,173.45
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Solution
The fourth proportional to 822,830,144,262.98, 1,234,404,162,737 and 312,849,259,173.45 is: 469,334,321,944.18
Step by Step Solution
- Step 1: Write the proportion equation
822,830,144,262.98 : 1,234,404,162,737 = 312,849,259,173.45 : x - Step 2: Convert to fraction form
822,830,144,262.98/1,234,404,162,737 = 312,849,259,173.45/x - Step 3: Cross multiply
822,830,144,262.98x = 1,234,404,162,737 × 312,849,259,173.45 - Step 4: Simplify right side
822,830,144,262.98x = 386,182,427,832,893,254,402,048 - Step 5: Solve for x
x = 386,182,427,832,893,254,402,048/822,830,144,262.98 - Step 6: Final answer
x = 469,334,321,944.18
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.