Finding the Fourth Proportional to 261,041,437,532.30, 360,237,201,117.67 and 145,295,713,204.81
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Solution
The fourth proportional to 261,041,437,532.30, 360,237,201,117.67 and 145,295,713,204.81 is: 200,508,093,864.68
Step by Step Solution
- Step 1: Write the proportion equation
261,041,437,532.30 : 360,237,201,117.67 = 145,295,713,204.81 : x - Step 2: Convert to fraction form
261,041,437,532.30/360,237,201,117.67 = 145,295,713,204.81/x - Step 3: Cross multiply
261,041,437,532.30x = 360,237,201,117.67 × 145,295,713,204.81 - Step 4: Simplify right side
261,041,437,532.30x = 52,340,921,059,296,436,813,824 - Step 5: Solve for x
x = 52,340,921,059,296,436,813,824/261,041,437,532.30 - Step 6: Final answer
x = 200,508,093,864.68
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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.