Finding the Fourth Proportional to 465,780,220,876.80, 698,670,331,315.20 and 306,782,852,191.20
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Solution
The fourth proportional to 465,780,220,876.80, 698,670,331,315.20 and 306,782,852,191.20 is: 460,174,278,286.80
Step by Step Solution
- Step 1: Write the proportion equation
465,780,220,876.80 : 698,670,331,315.20 = 306,782,852,191.20 : x - Step 2: Convert to fraction form
465,780,220,876.80/698,670,331,315.20 = 306,782,852,191.20/x - Step 3: Cross multiply
465,780,220,876.80x = 698,670,331,315.20 × 306,782,852,191.20 - Step 4: Simplify right side
465,780,220,876.80x = 214,340,076,982,247,721,271,296 - Step 5: Solve for x
x = 214,340,076,982,247,721,271,296/465,780,220,876.80 - Step 6: Final answer
x = 460,174,278,286.80
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1.5x scale
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.