Finding the Fourth Proportional to 414,072,302.40, 620,872,257.60 and 155,295,964.80
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Solution
The fourth proportional to 414,072,302.40, 620,872,257.60 and 155,295,964.80 is: 232,855,362.95
Step by Step Solution
- Step 1: Write the proportion equation
414,072,302.40 : 620,872,257.60 = 155,295,964.80 : x - Step 2: Convert to fraction form
414,072,302.40/620,872,257.60 = 155,295,964.80/x - Step 3: Cross multiply
414,072,302.40x = 620,872,257.60 × 155,295,964.80 - Step 4: Simplify right side
414,072,302.40x = 96,418,956,261,546,144 - Step 5: Solve for x
x = 96,418,956,261,546,144/414,072,302.40 - Step 6: Final answer
x = 232,855,362.95
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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.