Finding the Fourth Proportional to 413,642.16, 570,883.68 and 232,367.94
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Solution
The fourth proportional to 413,642.16, 570,883.68 and 232,367.94 is: 320,700.06
Step by Step Solution
- Step 1: Write the proportion equation
413,642.16 : 570,883.68 = 232,367.94 : x - Step 2: Convert to fraction form
413,642.16/570,883.68 = 232,367.94/x - Step 3: Cross multiply
413,642.16x = 570,883.68 × 232,367.94 - Step 4: Simplify right side
413,642.16x = 132,655,064,701.22 - Step 5: Solve for x
x = 132,655,064,701.22/413,642.16 - Step 6: Final answer
x = 320,700.06
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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.