Finding the Fourth Proportional to 1,026,485,153.19, 1,416,577,365 and 580,515,206.40
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Solution
The fourth proportional to 1,026,485,153.19, 1,416,577,365 and 580,515,206.40 is: 801,126,737.07
Step by Step Solution
- Step 1: Write the proportion equation
1,026,485,153.19 : 1,416,577,365 = 580,515,206.40 : x - Step 2: Convert to fraction form
1,026,485,153.19/1,416,577,365 = 580,515,206.40/x - Step 3: Cross multiply
1,026,485,153.19x = 1,416,577,365 × 580,515,206.40 - Step 4: Simplify right side
1,026,485,153.19x = 822,344,701,424,543,104 - Step 5: Solve for x
x = 822,344,701,424,543,104/1,026,485,153.19 - Step 6: Final answer
x = 801,126,737.07
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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.