Finding the Fourth Proportional to 361,154,472.30, 498,423,909.74 and 204,549,438.42
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Solution
The fourth proportional to 361,154,472.30, 498,423,909.74 and 204,549,438.42 is: 282,295,634.28
Step by Step Solution
- Step 1: Write the proportion equation
361,154,472.30 : 498,423,909.74 = 204,549,438.42 : x - Step 2: Convert to fraction form
361,154,472.30/498,423,909.74 = 204,549,438.42/x - Step 3: Cross multiply
361,154,472.30x = 498,423,909.74 × 204,549,438.42 - Step 4: Simplify right side
361,154,472.30x = 101,952,330,831,395,024 - Step 5: Solve for x
x = 101,952,330,831,395,024/361,154,472.30 - Step 6: Final answer
x = 282,295,634.28
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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.