Finding the Fourth Proportional to 1,204,020,005.70, 1,805,596,282.68 and 416,859,941.28
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Solution
The fourth proportional to 1,204,020,005.70, 1,805,596,282.68 and 416,859,941.28 is: 625,139,745.86
Step by Step Solution
- Step 1: Write the proportion equation
1,204,020,005.70 : 1,805,596,282.68 = 416,859,941.28 : x - Step 2: Convert to fraction form
1,204,020,005.70/1,805,596,282.68 = 416,859,941.28/x - Step 3: Cross multiply
1,204,020,005.70x = 1,805,596,282.68 × 416,859,941.28 - Step 4: Simplify right side
1,204,020,005.70x = 752,680,760,373,371,008 - Step 5: Solve for x
x = 752,680,760,373,371,008/1,204,020,005.70 - Step 6: Final answer
x = 625,139,745.86
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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.