Finding the Fourth Proportional to 590,415,791.56, 814,768,948.27 and 322,491,795.09
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Solution
The fourth proportional to 590,415,791.56, 814,768,948.27 and 322,491,795.09 is: 445,036,031.33
Step by Step Solution
- Step 1: Write the proportion equation
590,415,791.56 : 814,768,948.27 = 322,491,795.09 : x - Step 2: Convert to fraction form
590,415,791.56/814,768,948.27 = 322,491,795.09/x - Step 3: Cross multiply
590,415,791.56x = 814,768,948.27 × 322,491,795.09 - Step 4: Simplify right side
590,415,791.56x = 262,756,300,707,176,928 - Step 5: Solve for x
x = 262,756,300,707,176,928/590,415,791.56 - Step 6: Final answer
x = 445,036,031.33
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1.5x scale
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.