Finding the Fourth Proportional to 298,210,926,631.08, 411,532,335,560.55 and 168,001,343,578.17
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Solution
The fourth proportional to 298,210,926,631.08, 411,532,335,560.55 and 168,001,343,578.17 is: 231,842,562,179.37
Step by Step Solution
- Step 1: Write the proportion equation
298,210,926,631.08 : 411,532,335,560.55 = 168,001,343,578.17 : x - Step 2: Convert to fraction form
298,210,926,631.08/411,532,335,560.55 = 168,001,343,578.17/x - Step 3: Cross multiply
298,210,926,631.08x = 411,532,335,560.55 × 168,001,343,578.17 - Step 4: Simplify right side
298,210,926,631.08x = 69,137,985,300,034,714,861,568 - Step 5: Solve for x
x = 69,137,985,300,034,714,861,568/298,210,926,631.08 - Step 6: Final answer
x = 231,842,562,179.37
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1.5x scale
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.