Finding the Fourth Proportional to 1,278,382,073.39, 1,763,665,310.71 and 742,442,505.65
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Solution
The fourth proportional to 1,278,382,073.39, 1,763,665,310.71 and 742,442,505.65 is: 1,024,279,141.32
Step by Step Solution
- Step 1: Write the proportion equation
1,278,382,073.39 : 1,763,665,310.71 = 742,442,505.65 : x - Step 2: Convert to fraction form
1,278,382,073.39/1,763,665,310.71 = 742,442,505.65/x - Step 3: Cross multiply
1,278,382,073.39x = 1,763,665,310.71 × 742,442,505.65 - Step 4: Simplify right side
1,278,382,073.39x = 1,309,420,092,411,518,208 - Step 5: Solve for x
x = 1,309,420,092,411,518,208/1,278,382,073.39 - Step 6: Final answer
x = 1,024,279,141.32
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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.