Finding the Fourth Proportional to 400,201,076,169.66, 552,261,995,437.62 and 217,293,991,471.08
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Solution
The fourth proportional to 400,201,076,169.66, 552,261,995,437.62 and 217,293,991,471.08 is: 299,857,297,923.78
Step by Step Solution
- Step 1: Write the proportion equation
400,201,076,169.66 : 552,261,995,437.62 = 217,293,991,471.08 : x - Step 2: Convert to fraction form
400,201,076,169.66/552,261,995,437.62 = 217,293,991,471.08/x - Step 3: Cross multiply
400,201,076,169.66x = 552,261,995,437.62 × 217,293,991,471.08 - Step 4: Simplify right side
400,201,076,169.66x = 120,003,213,326,423,817,191,424 - Step 5: Solve for x
x = 120,003,213,326,423,817,191,424/400,201,076,169.66 - Step 6: Final answer
x = 299,857,297,923.78
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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.