Finding the Fourth Proportional to 812,503,214.86, 1,218,370,620.84 and 314,746,855.31
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Solution
The fourth proportional to 812,503,214.86, 1,218,370,620.84 and 314,746,855.31 is: 471,971,451.31
Step by Step Solution
- Step 1: Write the proportion equation
812,503,214.86 : 1,218,370,620.84 = 314,746,855.31 : x - Step 2: Convert to fraction form
812,503,214.86/1,218,370,620.84 = 314,746,855.31/x - Step 3: Cross multiply
812,503,214.86x = 1,218,370,620.84 × 314,746,855.31 - Step 4: Simplify right side
812,503,214.86x = 383,478,321,509,568,576 - Step 5: Solve for x
x = 383,478,321,509,568,576/812,503,214.86 - Step 6: Final answer
x = 471,971,451.31
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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.