Finding the Fourth Proportional to 284,123.84, 392,103.68 and 163,304.32
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Solution
The fourth proportional to 284,123.84, 392,103.68 and 163,304.32 is: 225,367.31
Step by Step Solution
- Step 1: Write the proportion equation
284,123.84 : 392,103.68 = 163,304.32 : x - Step 2: Convert to fraction form
284,123.84/392,103.68 = 163,304.32/x - Step 3: Cross multiply
284,123.84x = 392,103.68 × 163,304.32 - Step 4: Simplify right side
284,123.84x = 64,032,224,831.90 - Step 5: Solve for x
x = 64,032,224,831.90/284,123.84 - Step 6: Final answer
x = 225,367.31
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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.