Finding the Fourth Proportional to 1,132,658,413.16, 1,563,147,169.02 and 686,640,576.12
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Solution
The fourth proportional to 1,132,658,413.16, 1,563,147,169.02 and 686,640,576.12 is: 947,611,619.02
Step by Step Solution
- Step 1: Write the proportion equation
1,132,658,413.16 : 1,563,147,169.02 = 686,640,576.12 : x - Step 2: Convert to fraction form
1,132,658,413.16/1,563,147,169.02 = 686,640,576.12/x - Step 3: Cross multiply
1,132,658,413.16x = 1,563,147,169.02 × 686,640,576.12 - Step 4: Simplify right side
1,132,658,413.16x = 1,073,320,272,696,239,872 - Step 5: Solve for x
x = 1,073,320,272,696,239,872/1,132,658,413.16 - Step 6: Final answer
x = 947,611,619.02
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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.