Finding the Fourth Proportional to 1,416,312,741.47, 1,954,513,465.97 and 781,218,990.68
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Solution
The fourth proportional to 1,416,312,741.47, 1,954,513,465.97 and 781,218,990.68 is: 1,078,083,245.63
Step by Step Solution
- Step 1: Write the proportion equation
1,416,312,741.47 : 1,954,513,465.97 = 781,218,990.68 : x - Step 2: Convert to fraction form
1,416,312,741.47/1,954,513,465.97 = 781,218,990.68/x - Step 3: Cross multiply
1,416,312,741.47x = 1,954,513,465.97 × 781,218,990.68 - Step 4: Simplify right side
1,416,312,741.47x = 1,526,903,037,141,873,152 - Step 5: Solve for x
x = 1,526,903,037,141,873,152/1,416,312,741.47 - Step 6: Final answer
x = 1,078,083,245.63
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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.