Finding the Fourth Proportional to 4,142,235,120.66, 5,716,284,247.88 and 2,236,996,412.76
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Solution
The fourth proportional to 4,142,235,120.66, 5,716,284,247.88 and 2,236,996,412.76 is: 3,087,054,931.54
Step by Step Solution
- Step 1: Write the proportion equation
4,142,235,120.66 : 5,716,284,247.88 = 2,236,996,412.76 : x - Step 2: Convert to fraction form
4,142,235,120.66/5,716,284,247.88 = 2,236,996,412.76/x - Step 3: Cross multiply
4,142,235,120.66x = 5,716,284,247.88 × 2,236,996,412.76 - Step 4: Simplify right side
4,142,235,120.66x = 12,787,307,356,824,055,808 - Step 5: Solve for x
x = 12,787,307,356,824,055,808/4,142,235,120.66 - Step 6: Final answer
x = 3,087,054,931.54
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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.