Finding the Fourth Proportional to 405,770,845,424.96, 559,974,701,816.23 and 238,735,634,873.23
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Solution
The fourth proportional to 405,770,845,424.96, 559,974,701,816.23 and 238,735,634,873.23 is: 329,461,609,818.31
Step by Step Solution
- Step 1: Write the proportion equation
405,770,845,424.96 : 559,974,701,816.23 = 238,735,634,873.23 : x - Step 2: Convert to fraction form
405,770,845,424.96/559,974,701,816.23 = 238,735,634,873.23/x - Step 3: Cross multiply
405,770,845,424.96x = 559,974,701,816.23 × 238,735,634,873.23 - Step 4: Simplify right side
405,770,845,424.96x = 133,685,915,951,045,325,881,344 - Step 5: Solve for x
x = 133,685,915,951,045,325,881,344/405,770,845,424.96 - Step 6: Final answer
x = 329,461,609,818.31
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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.