Finding the Fourth Proportional to 413,306.42, 570,362.58 and 232,018.70
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Solution
The fourth proportional to 413,306.42, 570,362.58 and 232,018.70 is: 320,185.65
Step by Step Solution
- Step 1: Write the proportion equation
413,306.42 : 570,362.58 = 232,018.70 : x - Step 2: Convert to fraction form
413,306.42/570,362.58 = 232,018.70/x - Step 3: Cross multiply
413,306.42x = 570,362.58 × 232,018.70 - Step 4: Simplify right side
413,306.42x = 132,334,784,340.25 - Step 5: Solve for x
x = 132,334,784,340.25/413,306.42 - Step 6: Final answer
x = 320,185.65
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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.