Finding the Fourth Proportional to 305,534,744,216.70, 421,660,231,828.24 and 177,109,348,104.06
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Solution
The fourth proportional to 305,534,744,216.70, 421,660,231,828.24 and 177,109,348,104.06 is: 244,423,818,220.62
Step by Step Solution
- Step 1: Write the proportion equation
305,534,744,216.70 : 421,660,231,828.24 = 177,109,348,104.06 : x - Step 2: Convert to fraction form
305,534,744,216.70/421,660,231,828.24 = 177,109,348,104.06/x - Step 3: Cross multiply
305,534,744,216.70x = 421,660,231,828.24 × 177,109,348,104.06 - Step 4: Simplify right side
305,534,744,216.70x = 74,679,968,780,506,395,312,128 - Step 5: Solve for x
x = 74,679,968,780,506,395,312,128/305,534,744,216.70 - Step 6: Final answer
x = 244,423,818,220.62
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.