Finding the Fourth Proportional to 1,657,772,468.13, 2,287,714,161.33 and 905,085,618.96
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Solution
The fourth proportional to 1,657,772,468.13, 2,287,714,161.33 and 905,085,618.96 is: 1,249,011,687.38
Step by Step Solution
- Step 1: Write the proportion equation
1,657,772,468.13 : 2,287,714,161.33 = 905,085,618.96 : x - Step 2: Convert to fraction form
1,657,772,468.13/2,287,714,161.33 = 905,085,618.96/x - Step 3: Cross multiply
1,657,772,468.13x = 2,287,714,161.33 × 905,085,618.96 - Step 4: Simplify right side
1,657,772,468.13x = 2,070,577,187,710,920,448 - Step 5: Solve for x
x = 2,070,577,187,710,920,448/1,657,772,468.13 - Step 6: Final answer
x = 1,249,011,687.38
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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.