Finding the Fourth Proportional to 447,259,243,316.49, 670,983,100,170.75 and 145,048,281,365.26
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Solution
The fourth proportional to 447,259,243,316.49, 670,983,100,170.75 and 145,048,281,365.26 is: 217,602,982,966.26
Step by Step Solution
- Step 1: Write the proportion equation
447,259,243,316.49 : 670,983,100,170.75 = 145,048,281,365.26 : x - Step 2: Convert to fraction form
447,259,243,316.49/670,983,100,170.75 = 145,048,281,365.26/x - Step 3: Cross multiply
447,259,243,316.49x = 670,983,100,170.75 × 145,048,281,365.26 - Step 4: Simplify right side
447,259,243,316.49x = 97,324,945,504,901,391,187,968 - Step 5: Solve for x
x = 97,324,945,504,901,391,187,968/447,259,243,316.49 - Step 6: Final answer
x = 217,602,982,966.26
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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.