Finding the Fourth Proportional to 361,169,864.64, 498,416,964.12 and 196,157,434.14
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Solution
The fourth proportional to 361,169,864.64, 498,416,964.12 and 196,157,434.14 is: 270,698,644.56
Step by Step Solution
- Step 1: Write the proportion equation
361,169,864.64 : 498,416,964.12 = 196,157,434.14 : x - Step 2: Convert to fraction form
361,169,864.64/498,416,964.12 = 196,157,434.14/x - Step 3: Cross multiply
361,169,864.64x = 498,416,964.12 × 196,157,434.14 - Step 4: Simplify right side
361,169,864.64x = 97,768,192,813,627,632 - Step 5: Solve for x
x = 97,768,192,813,627,632/361,169,864.64 - Step 6: Final answer
x = 270,698,644.56
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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.