Finding the Fourth Proportional to 283,142.81, 390,746.25 and 162,306.96
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Solution
The fourth proportional to 283,142.81, 390,746.25 and 162,306.96 is: 223,988.87
Step by Step Solution
- Step 1: Write the proportion equation
283,142.81 : 390,746.25 = 162,306.96 : x - Step 2: Convert to fraction form
283,142.81/390,746.25 = 162,306.96/x - Step 3: Cross multiply
283,142.81x = 390,746.25 × 162,306.96 - Step 4: Simplify right side
283,142.81x = 63,420,835,968.90 - Step 5: Solve for x
x = 63,420,835,968.90/283,142.81 - Step 6: Final answer
x = 223,988.87
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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.