Finding the Fourth Proportional to 284,470.16, 392,567.58 and 157,145.78
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Solution
The fourth proportional to 284,470.16, 392,567.58 and 157,145.78 is: 216,860.49
Step by Step Solution
- Step 1: Write the proportion equation
284,470.16 : 392,567.58 = 157,145.78 : x - Step 2: Convert to fraction form
284,470.16/392,567.58 = 157,145.78/x - Step 3: Cross multiply
284,470.16x = 392,567.58 × 157,145.78 - Step 4: Simplify right side
284,470.16x = 61,690,338,561.81 - Step 5: Solve for x
x = 61,690,338,561.81/284,470.16 - Step 6: Final answer
x = 216,860.49
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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.