Finding the Fourth Proportional to 1,573,138,193,847.80, 2,170,907,792,265.40 and 878,688,633,382.84
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Solution
The fourth proportional to 1,573,138,193,847.80, 2,170,907,792,265.40 and 878,688,633,382.84 is: 1,212,577,514,579.37
Step by Step Solution
- Step 1: Write the proportion equation
1,573,138,193,847.80 : 2,170,907,792,265.40 = 878,688,633,382.84 : x - Step 2: Convert to fraction form
1,573,138,193,847.80/2,170,907,792,265.40 = 878,688,633,382.84/x - Step 3: Cross multiply
1,573,138,193,847.80x = 2,170,907,792,265.40 × 878,688,633,382.84 - Step 4: Simplify right side
1,573,138,193,847.80x = 1,907,552,001,185,842,592,743,424 - Step 5: Solve for x
x = 1,907,552,001,185,842,592,743,424/1,573,138,193,847.80 - Step 6: Final answer
x = 1,212,577,514,579.37
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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.