Finding the Fourth Proportional to 470,746,623.84, 706,278,845 and 208,394,985.92
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Solution
The fourth proportional to 470,746,623.84, 706,278,845 and 208,394,985.92 is: 312,662,826.47
Step by Step Solution
- Step 1: Write the proportion equation
470,746,623.84 : 706,278,845 = 208,394,985.92 : x - Step 2: Convert to fraction form
470,746,623.84/706,278,845 = 208,394,985.92/x - Step 3: Cross multiply
470,746,623.84x = 706,278,845 × 208,394,985.92 - Step 4: Simplify right side
470,746,623.84x = 147,184,969,959,368,864 - Step 5: Solve for x
x = 147,184,969,959,368,864/470,746,623.84 - Step 6: Final answer
x = 312,662,826.47
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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.