Finding the Fourth Proportional to 414,782,160.74, 622,029,161.55 and 230,830,353.98
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Solution
The fourth proportional to 414,782,160.74, 622,029,161.55 and 230,830,353.98 is: 346,165,349.28
Step by Step Solution
- Step 1: Write the proportion equation
414,782,160.74 : 622,029,161.55 = 230,830,353.98 : x - Step 2: Convert to fraction form
414,782,160.74/622,029,161.55 = 230,830,353.98/x - Step 3: Cross multiply
414,782,160.74x = 622,029,161.55 × 230,830,353.98 - Step 4: Simplify right side
414,782,160.74x = 143,583,211,548,889,792 - Step 5: Solve for x
x = 143,583,211,548,889,792/414,782,160.74 - Step 6: Final answer
x = 346,165,349.28
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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.