Finding the Fourth Proportional to 825,028,491,146.23, 1,138,539,370,281.70 and 459,214,819,476.23
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Solution
The fourth proportional to 825,028,491,146.23, 1,138,539,370,281.70 and 459,214,819,476.23 is: 633,716,480,098.90
Step by Step Solution
- Step 1: Write the proportion equation
825,028,491,146.23 : 1,138,539,370,281.70 = 459,214,819,476.23 : x - Step 2: Convert to fraction form
825,028,491,146.23/1,138,539,370,281.70 = 459,214,819,476.23/x - Step 3: Cross multiply
825,028,491,146.23x = 1,138,539,370,281.70 × 459,214,819,476.23 - Step 4: Simplify right side
825,028,491,146.23x = 522,834,151,390,491,394,965,504 - Step 5: Solve for x
x = 522,834,151,390,491,394,965,504/825,028,491,146.23 - Step 6: Final answer
x = 633,716,480,098.90
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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.