Finding the Fourth Proportional to 313,145,971,986.97, 469,526,723,977.34 and 121,694,466,162.62
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Solution
The fourth proportional to 313,145,971,986.97, 469,526,723,977.34 and 121,694,466,162.62 is: 182,466,993,462.98
Step by Step Solution
- Step 1: Write the proportion equation
313,145,971,986.97 : 469,526,723,977.34 = 121,694,466,162.62 : x - Step 2: Convert to fraction form
313,145,971,986.97/469,526,723,977.34 = 121,694,466,162.62/x - Step 3: Cross multiply
313,145,971,986.97x = 469,526,723,977.34 × 121,694,466,162.62 - Step 4: Simplify right side
313,145,971,986.97x = 57,138,804,023,506,222,710,784 - Step 5: Solve for x
x = 57,138,804,023,506,222,710,784/313,145,971,986.97 - Step 6: Final answer
x = 182,466,993,462.98
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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.