Finding the Fourth Proportional to 511,788,354,860.28, 706,290,130,717.20 and 283,417,596,846.12
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Solution
The fourth proportional to 511,788,354,860.28, 706,290,130,717.20 and 283,417,596,846.12 is: 391,128,578,098.75
Step by Step Solution
- Step 1: Write the proportion equation
511,788,354,860.28 : 706,290,130,717.20 = 283,417,596,846.12 : x - Step 2: Convert to fraction form
511,788,354,860.28/706,290,130,717.20 = 283,417,596,846.12/x - Step 3: Cross multiply
511,788,354,860.28x = 706,290,130,717.20 × 283,417,596,846.12 - Step 4: Simplify right side
511,788,354,860.28x = 200,175,051,524,000,775,667,712 - Step 5: Solve for x
x = 200,175,051,524,000,775,667,712/511,788,354,860.28 - Step 6: Final answer
x = 391,128,578,098.75
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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.