Finding the Fourth Proportional to 256,317,645.80, 353,720,049.53 and 138,842,975.99
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Solution
The fourth proportional to 256,317,645.80, 353,720,049.53 and 138,842,975.99 is: 191,604,226.82
Step by Step Solution
- Step 1: Write the proportion equation
256,317,645.80 : 353,720,049.53 = 138,842,975.99 : x - Step 2: Convert to fraction form
256,317,645.80/353,720,049.53 = 138,842,975.99/x - Step 3: Cross multiply
256,317,645.80x = 353,720,049.53 × 138,842,975.99 - Step 4: Simplify right side
256,317,645.80x = 49,111,544,341,612,584 - Step 5: Solve for x
x = 49,111,544,341,612,584/256,317,645.80 - Step 6: Final answer
x = 191,604,226.82
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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.