Finding the Fourth Proportional to 1,294,732,366.16, 1,786,727,304.68 and 722,509,418.81
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Solution
The fourth proportional to 1,294,732,366.16, 1,786,727,304.68 and 722,509,418.81 is: 997,061,122.60
Step by Step Solution
- Step 1: Write the proportion equation
1,294,732,366.16 : 1,786,727,304.68 = 722,509,418.81 : x - Step 2: Convert to fraction form
1,294,732,366.16/1,786,727,304.68 = 722,509,418.81/x - Step 3: Cross multiply
1,294,732,366.16x = 1,786,727,304.68 × 722,509,418.81 - Step 4: Simplify right side
1,294,732,366.16x = 1,290,927,306,476,304,640 - Step 5: Solve for x
x = 1,290,927,306,476,304,640/1,294,732,366.16 - Step 6: Final answer
x = 997,061,122.60
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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.