Finding the Fourth Proportional to 1,536,161,208.06, 2,119,908,930.09 and 831,313,224.09
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Solution
The fourth proportional to 1,536,161,208.06, 2,119,908,930.09 and 831,313,224.09 is: 1,147,215,746.76
Step by Step Solution
- Step 1: Write the proportion equation
1,536,161,208.06 : 2,119,908,930.09 = 831,313,224.09 : x - Step 2: Convert to fraction form
1,536,161,208.06/2,119,908,930.09 = 831,313,224.09/x - Step 3: Cross multiply
1,536,161,208.06x = 2,119,908,930.09 × 831,313,224.09 - Step 4: Simplify right side
1,536,161,208.06x = 1,762,308,327,450,300,416 - Step 5: Solve for x
x = 1,762,308,327,450,300,416/1,536,161,208.06 - Step 6: Final answer
x = 1,147,215,746.76
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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.