Finding the Fourth Proportional to 273,242,659.84, 409,435,017.21 and 185,845,858.78
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Solution
The fourth proportional to 273,242,659.84, 409,435,017.21 and 185,845,858.78 is: 278,477,022.70
Step by Step Solution
- Step 1: Write the proportion equation
273,242,659.84 : 409,435,017.21 = 185,845,858.78 : x - Step 2: Convert to fraction form
273,242,659.84/409,435,017.21 = 185,845,858.78/x - Step 3: Cross multiply
273,242,659.84x = 409,435,017.21 × 185,845,858.78 - Step 4: Simplify right side
273,242,659.84x = 76,091,802,387,996,528 - Step 5: Solve for x
x = 76,091,802,387,996,528/273,242,659.84 - Step 6: Final answer
x = 278,477,022.70
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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.