Finding the Fourth Proportional to 821,382,761.42, 1,133,563,824.04 and 464,026,595.78
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Solution
The fourth proportional to 821,382,761.42, 1,133,563,824.04 and 464,026,595.78 is: 640,388,119.98
Step by Step Solution
- Step 1: Write the proportion equation
821,382,761.42 : 1,133,563,824.04 = 464,026,595.78 : x - Step 2: Convert to fraction form
821,382,761.42/1,133,563,824.04 = 464,026,595.78/x - Step 3: Cross multiply
821,382,761.42x = 1,133,563,824.04 × 464,026,595.78 - Step 4: Simplify right side
821,382,761.42x = 526,003,762,370,313,984 - Step 5: Solve for x
x = 526,003,762,370,313,984/821,382,761.42 - Step 6: Final answer
x = 640,388,119.98
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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.