Finding the Fourth Proportional to 310,407,442,119.30, 465,611,163,178.95 and 303,433,873,317.30
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Solution
The fourth proportional to 310,407,442,119.30, 465,611,163,178.95 and 303,433,873,317.30 is: 455,150,809,975.95
Step by Step Solution
- Step 1: Write the proportion equation
310,407,442,119.30 : 465,611,163,178.95 = 303,433,873,317.30 : x - Step 2: Convert to fraction form
310,407,442,119.30/465,611,163,178.95 = 303,433,873,317.30/x - Step 3: Cross multiply
310,407,442,119.30x = 465,611,163,178.95 × 303,433,873,317.30 - Step 4: Simplify right side
310,407,442,119.30x = 141,282,198,703,162,217,463,808 - Step 5: Solve for x
x = 141,282,198,703,162,217,463,808/310,407,442,119.30 - Step 6: Final answer
x = 455,150,809,975.95
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Double scale
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Similar ratio
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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.