Finding the Fourth Proportional to 1,158,963,992.13, 1,738,456,749.23 and 329,917,605.71
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Solution
The fourth proportional to 1,158,963,992.13, 1,738,456,749.23 and 329,917,605.71 is: 494,879,471.86
Step by Step Solution
- Step 1: Write the proportion equation
1,158,963,992.13 : 1,738,456,749.23 = 329,917,605.71 : x - Step 2: Convert to fraction form
1,158,963,992.13/1,738,456,749.23 = 329,917,605.71/x - Step 3: Cross multiply
1,158,963,992.13x = 1,738,456,749.23 × 329,917,605.71 - Step 4: Simplify right side
1,158,963,992.13x = 573,547,488,334,701,824 - Step 5: Solve for x
x = 573,547,488,334,701,824/1,158,963,992.13 - Step 6: Final answer
x = 494,879,471.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.