Finding the Fourth Proportional to 644,182,284.93, 966,201,066.18 and 177,909,995.67
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Solution
The fourth proportional to 644,182,284.93, 966,201,066.18 and 177,909,995.67 is: 266,845,008.81
Step by Step Solution
- Step 1: Write the proportion equation
644,182,284.93 : 966,201,066.18 = 177,909,995.67 : x - Step 2: Convert to fraction form
644,182,284.93/966,201,066.18 = 177,909,995.67/x - Step 3: Cross multiply
644,182,284.93x = 966,201,066.18 × 177,909,995.67 - Step 4: Simplify right side
644,182,284.93x = 171,896,827,500,433,152 - Step 5: Solve for x
x = 171,896,827,500,433,152/644,182,284.93 - Step 6: Final answer
x = 266,845,008.81
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.