Finding the Fourth Proportional to 402,858,849,057.42, 555,993,962,303.80 and 229,286,192,459.94
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Solution
The fourth proportional to 402,858,849,057.42, 555,993,962,303.80 and 229,286,192,459.94 is: 316,442,691,889.79
Step by Step Solution
- Step 1: Write the proportion equation
402,858,849,057.42 : 555,993,962,303.80 = 229,286,192,459.94 : x - Step 2: Convert to fraction form
402,858,849,057.42/555,993,962,303.80 = 229,286,192,459.94/x - Step 3: Cross multiply
402,858,849,057.42x = 555,993,962,303.80 × 229,286,192,459.94 - Step 4: Simplify right side
402,858,849,057.42x = 127,481,738,647,353,719,521,280 - Step 5: Solve for x
x = 127,481,738,647,353,719,521,280/402,858,849,057.42 - Step 6: Final answer
x = 316,442,691,889.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.