Finding the Fourth Proportional to 282,803.68, 390,267.45 and 160,319.18
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Solution
The fourth proportional to 282,803.68, 390,267.45 and 160,319.18 is: 221,239.54
Step by Step Solution
- Step 1: Write the proportion equation
282,803.68 : 390,267.45 = 160,319.18 : x - Step 2: Convert to fraction form
282,803.68/390,267.45 = 160,319.18/x - Step 3: Cross multiply
282,803.68x = 390,267.45 × 160,319.18 - Step 4: Simplify right side
282,803.68x = 62,567,355,743.91 - Step 5: Solve for x
x = 62,567,355,743.91/282,803.68 - Step 6: Final answer
x = 221,239.54
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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.