Finding the Fourth Proportional to 405,475,914.70, 608,213,872.05 and 233,289,030.70
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Solution
The fourth proportional to 405,475,914.70, 608,213,872.05 and 233,289,030.70 is: 349,933,546.05
Step by Step Solution
- Step 1: Write the proportion equation
405,475,914.70 : 608,213,872.05 = 233,289,030.70 : x - Step 2: Convert to fraction form
405,475,914.70/608,213,872.05 = 233,289,030.70/x - Step 3: Cross multiply
405,475,914.70x = 608,213,872.05 × 233,289,030.70 - Step 4: Simplify right side
405,475,914.70x = 141,889,624,668,838,304 - Step 5: Solve for x
x = 141,889,624,668,838,304/405,475,914.70 - Step 6: Final answer
x = 349,933,546.05
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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.