Finding the Fourth Proportional to 1,578,817,390,767.40, 2,178,780,791,901.20 and 874,895,012,708.70
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Solution
The fourth proportional to 1,578,817,390,767.40, 2,178,780,791,901.20 and 874,895,012,708.70 is: 1,207,362,206,526.84
Step by Step Solution
- Step 1: Write the proportion equation
1,578,817,390,767.40 : 2,178,780,791,901.20 = 874,895,012,708.70 : x - Step 2: Convert to fraction form
1,578,817,390,767.40/2,178,780,791,901.20 = 874,895,012,708.70/x - Step 3: Cross multiply
1,578,817,390,767.40x = 2,178,780,791,901.20 × 874,895,012,708.70 - Step 4: Simplify right side
1,578,817,390,767.40x = 1,906,204,448,619,871,653,068,800 - Step 5: Solve for x
x = 1,906,204,448,619,871,653,068,800/1,578,817,390,767.40 - Step 6: Final answer
x = 1,207,362,206,526.84
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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.