Finding the Fourth Proportional to 415,950.23, 574,011.30 and 224,963.64
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Solution
The fourth proportional to 415,950.23, 574,011.30 and 224,963.64 is: 310,449.81
Step by Step Solution
- Step 1: Write the proportion equation
415,950.23 : 574,011.30 = 224,963.64 : x - Step 2: Convert to fraction form
415,950.23/574,011.30 = 224,963.64/x - Step 3: Cross multiply
415,950.23x = 574,011.30 × 224,963.64 - Step 4: Simplify right side
415,950.23x = 129,131,671,449.13 - Step 5: Solve for x
x = 129,131,671,449.13/415,950.23 - Step 6: Final answer
x = 310,449.81
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1.5x scale
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.