Finding the Fourth Proportional to 357,724.24, 493,551.80 and 214,432.00
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Solution
The fourth proportional to 357,724.24, 493,551.80 and 214,432.00 is: 295,851.63
Step by Step Solution
- Step 1: Write the proportion equation
357,724.24 : 493,551.80 = 214,432.00 : x - Step 2: Convert to fraction form
357,724.24/493,551.80 = 214,432.00/x - Step 3: Cross multiply
357,724.24x = 493,551.80 × 214,432.00 - Step 4: Simplify right side
357,724.24x = 105,833,298,075.68 - Step 5: Solve for x
x = 105,833,298,075.68/357,724.24 - Step 6: Final answer
x = 295,851.63
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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.