Finding the Fourth Proportional to 282,938.84, 390,448.04 and 160,453.68
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Solution
The fourth proportional to 282,938.84, 390,448.04 and 160,453.68 is: 221,421.79
Step by Step Solution
- Step 1: Write the proportion equation
282,938.84 : 390,448.04 = 160,453.68 : x - Step 2: Convert to fraction form
282,938.84/390,448.04 = 160,453.68/x - Step 3: Cross multiply
282,938.84x = 390,448.04 × 160,453.68 - Step 4: Simplify right side
282,938.84x = 62,648,824,064.52 - Step 5: Solve for x
x = 62,648,824,064.52/282,938.84 - Step 6: Final answer
x = 221,421.79
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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.