Finding the Fourth Proportional to 409,223,643.18, 614,272,435.47 and 176,169,706.62
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Solution
The fourth proportional to 409,223,643.18, 614,272,435.47 and 176,169,706.62 is: 264,442,674.67
Step by Step Solution
- Step 1: Write the proportion equation
409,223,643.18 : 614,272,435.47 = 176,169,706.62 : x - Step 2: Convert to fraction form
409,223,643.18/614,272,435.47 = 176,169,706.62/x - Step 3: Cross multiply
409,223,643.18x = 614,272,435.47 × 176,169,706.62 - Step 4: Simplify right side
409,223,643.18x = 108,216,194,741,502,784 - Step 5: Solve for x
x = 108,216,194,741,502,784/409,223,643.18 - Step 6: Final answer
x = 264,442,674.67
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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.