Finding the Fourth Proportional to 1,513,405,633.14, 2,269,913,194.35 and 478,371,141.54
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Solution
The fourth proportional to 1,513,405,633.14, 2,269,913,194.35 and 478,371,141.54 is: 717,494,994.20
Step by Step Solution
- Step 1: Write the proportion equation
1,513,405,633.14 : 2,269,913,194.35 = 478,371,141.54 : x - Step 2: Convert to fraction form
1,513,405,633.14/2,269,913,194.35 = 478,371,141.54/x - Step 3: Cross multiply
1,513,405,633.14x = 2,269,913,194.35 × 478,371,141.54 - Step 4: Simplify right side
1,513,405,633.14x = 1,085,860,965,977,917,440 - Step 5: Solve for x
x = 1,085,860,965,977,917,440/1,513,405,633.14 - Step 6: Final answer
x = 717,494,994.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.