Finding the Fourth Proportional to 298,731,884,438.51, 412,251,242,587.34 and 161,554,710,672.09
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Solution
The fourth proportional to 298,731,884,438.51, 412,251,242,587.34 and 161,554,710,672.09 is: 222,946,172,436.83
Step by Step Solution
- Step 1: Write the proportion equation
298,731,884,438.51 : 412,251,242,587.34 = 161,554,710,672.09 : x - Step 2: Convert to fraction form
298,731,884,438.51/412,251,242,587.34 = 161,554,710,672.09/x - Step 3: Cross multiply
298,731,884,438.51x = 412,251,242,587.34 × 161,554,710,672.09 - Step 4: Simplify right side
298,731,884,438.51x = 66,601,130,220,407,306,059,776 - Step 5: Solve for x
x = 66,601,130,220,407,306,059,776/298,731,884,438.51 - Step 6: Final answer
x = 222,946,172,436.83
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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.