Finding the Fourth Proportional to 414,202.70, 571,603.15 and 232,913.05
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Solution
The fourth proportional to 414,202.70, 571,603.15 and 232,913.05 is: 321,421.94
Step by Step Solution
- Step 1: Write the proportion equation
414,202.70 : 571,603.15 = 232,913.05 : x - Step 2: Convert to fraction form
414,202.70/571,603.15 = 232,913.05/x - Step 3: Cross multiply
414,202.70x = 571,603.15 × 232,913.05 - Step 4: Simplify right side
414,202.70x = 133,133,835,788.58 - Step 5: Solve for x
x = 133,133,835,788.58/414,202.70 - Step 6: Final answer
x = 321,421.94
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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.