Finding the Fourth Proportional to 286,972.74, 430,625.46 and 144,829.14
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Solution
The fourth proportional to 286,972.74, 430,625.46 and 144,829.14 is: 217,327.66
Step by Step Solution
- Step 1: Write the proportion equation
286,972.74 : 430,625.46 = 144,829.14 : x - Step 2: Convert to fraction form
286,972.74/430,625.46 = 144,829.14/x - Step 3: Cross multiply
286,972.74x = 430,625.46 × 144,829.14 - Step 4: Simplify right side
286,972.74x = 62,367,115,033.90 - Step 5: Solve for x
x = 62,367,115,033.90/286,972.74 - Step 6: Final answer
x = 217,327.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.