Finding the Fourth Proportional to 284,433.67, 392,510.97 and 157,106.53
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Solution
The fourth proportional to 284,433.67, 392,510.97 and 157,106.53 is: 216,802.87
Step by Step Solution
- Step 1: Write the proportion equation
284,433.67 : 392,510.97 = 157,106.53 : x - Step 2: Convert to fraction form
284,433.67/392,510.97 = 157,106.53/x - Step 3: Cross multiply
284,433.67x = 392,510.97 × 157,106.53 - Step 4: Simplify right side
284,433.67x = 61,666,036,483.63 - Step 5: Solve for x
x = 61,666,036,483.63/284,433.67 - Step 6: Final answer
x = 216,802.87
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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.