Finding the Fourth Proportional to 299,431,558.80, 413,231,415.99 and 180,391,624.23
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Solution
The fourth proportional to 299,431,558.80, 413,231,415.99 and 180,391,624.23 is: 248,949,999.17
Step by Step Solution
- Step 1: Write the proportion equation
299,431,558.80 : 413,231,415.99 = 180,391,624.23 : x - Step 2: Convert to fraction form
299,431,558.80/413,231,415.99 = 180,391,624.23/x - Step 3: Cross multiply
299,431,558.80x = 413,231,415.99 × 180,391,624.23 - Step 4: Simplify right side
299,431,558.80x = 74,543,486,313,298,896 - Step 5: Solve for x
x = 74,543,486,313,298,896/299,431,558.80 - Step 6: Final answer
x = 248,949,999.17
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.