Finding the Fourth Proportional to 406,370,830.76, 560,838,266.93 and 227,802,948.05
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Solution
The fourth proportional to 406,370,830.76, 560,838,266.93 and 227,802,948.05 is: 314,394,146.71
Step by Step Solution
- Step 1: Write the proportion equation
406,370,830.76 : 560,838,266.93 = 227,802,948.05 : x - Step 2: Convert to fraction form
406,370,830.76/560,838,266.93 = 227,802,948.05/x - Step 3: Cross multiply
406,370,830.76x = 560,838,266.93 × 227,802,948.05 - Step 4: Simplify right side
406,370,830.76x = 127,760,610,583,102,608 - Step 5: Solve for x
x = 127,760,610,583,102,608/406,370,830.76 - Step 6: Final answer
x = 314,394,146.71
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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.