Finding the Fourth Proportional to 1,123,935,177,275.40, 1,685,703,479,141.50 and 511,171,209,253.35
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Solution
The fourth proportional to 1,123,935,177,275.40, 1,685,703,479,141.50 and 511,171,209,253.35 is: 766,666,177,282.75
Step by Step Solution
- Step 1: Write the proportion equation
1,123,935,177,275.40 : 1,685,703,479,141.50 = 511,171,209,253.35 : x - Step 2: Convert to fraction form
1,123,935,177,275.40/1,685,703,479,141.50 = 511,171,209,253.35/x - Step 3: Cross multiply
1,123,935,177,275.40x = 1,685,703,479,141.50 × 511,171,209,253.35 - Step 4: Simplify right side
1,123,935,177,275.40x = 861,683,085,875,339,738,480,640 - Step 5: Solve for x
x = 861,683,085,875,339,738,480,640/1,123,935,177,275.40 - Step 6: Final answer
x = 766,666,177,282.75
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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.