Finding the Fourth Proportional to 394,014,403,177.04, 543,725,309,368.68 and 213,569,436,220.40
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Solution
The fourth proportional to 394,014,403,177.04, 543,725,309,368.68 and 213,569,436,220.40 is: 294,717,926,157.78
Step by Step Solution
- Step 1: Write the proportion equation
394,014,403,177.04 : 543,725,309,368.68 = 213,569,436,220.40 : x - Step 2: Convert to fraction form
394,014,403,177.04/543,725,309,368.68 = 213,569,436,220.40/x - Step 3: Cross multiply
394,014,403,177.04x = 543,725,309,368.68 × 213,569,436,220.40 - Step 4: Simplify right side
394,014,403,177.04x = 116,123,107,780,631,554,162,688 - Step 5: Solve for x
x = 116,123,107,780,631,554,162,688/394,014,403,177.04 - Step 6: Final answer
x = 294,717,926,157.78
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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.