Finding the Fourth Proportional to 829,746,343.11, 1,145,036,122.68 and 453,394,662.98
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Solution
The fourth proportional to 829,746,343.11, 1,145,036,122.68 and 453,394,662.98 is: 625,677,077.39
Step by Step Solution
- Step 1: Write the proportion equation
829,746,343.11 : 1,145,036,122.68 = 453,394,662.98 : x - Step 2: Convert to fraction form
829,746,343.11/1,145,036,122.68 = 453,394,662.98/x - Step 3: Cross multiply
829,746,343.11x = 1,145,036,122.68 × 453,394,662.98 - Step 4: Simplify right side
829,746,343.11x = 519,153,266,935,837,952 - Step 5: Solve for x
x = 519,153,266,935,837,952/829,746,343.11 - Step 6: Final answer
x = 625,677,077.39
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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.