Finding the Fourth Proportional to 452,468,077.13, 678,683,642.79 and 157,430,725.49
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Solution
The fourth proportional to 452,468,077.13, 678,683,642.79 and 157,430,725.49 is: 236,139,660.81
Step by Step Solution
- Step 1: Write the proportion equation
452,468,077.13 : 678,683,642.79 = 157,430,725.49 : x - Step 2: Convert to fraction form
452,468,077.13/678,683,642.79 = 157,430,725.49/x - Step 3: Cross multiply
452,468,077.13x = 678,683,642.79 × 157,430,725.49 - Step 4: Simplify right side
452,468,077.13x = 106,845,658,262,625,712 - Step 5: Solve for x
x = 106,845,658,262,625,712/452,468,077.13 - Step 6: Final answer
x = 236,139,660.81
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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.