Finding the Fourth Proportional to 842,167,622.58, 1,162,113,326.09 and 465,816,110.19
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Solution
The fourth proportional to 842,167,622.58, 1,162,113,326.09 and 465,816,110.19 is: 642,783,092.87
Step by Step Solution
- Step 1: Write the proportion equation
842,167,622.58 : 1,162,113,326.09 = 465,816,110.19 : x - Step 2: Convert to fraction form
842,167,622.58/1,162,113,326.09 = 465,816,110.19/x - Step 3: Cross multiply
842,167,622.58x = 1,162,113,326.09 × 465,816,110.19 - Step 4: Simplify right side
842,167,622.58x = 541,331,109,159,206,784 - Step 5: Solve for x
x = 541,331,109,159,206,784/842,167,622.58 - Step 6: Final answer
x = 642,783,092.87
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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.