Finding the Fourth Proportional to 310,407,442,117.80, 465,611,163,176.70 and 303,433,873,315.80
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Solution
The fourth proportional to 310,407,442,117.80, 465,611,163,176.70 and 303,433,873,315.80 is: 455,150,809,973.70
Step by Step Solution
- Step 1: Write the proportion equation
310,407,442,117.80 : 465,611,163,176.70 = 303,433,873,315.80 : x - Step 2: Convert to fraction form
310,407,442,117.80/465,611,163,176.70 = 303,433,873,315.80/x - Step 3: Cross multiply
310,407,442,117.80x = 465,611,163,176.70 × 303,433,873,315.80 - Step 4: Simplify right side
310,407,442,117.80x = 141,282,198,701,781,066,711,040 - Step 5: Solve for x
x = 141,282,198,701,781,066,711,040/310,407,442,117.80 - Step 6: Final answer
x = 455,150,809,973.70
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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.