Finding the Fourth Proportional to 806,078,480,859.40, 1,209,287,534,697.30 and 261,484,455,473.94
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Solution
The fourth proportional to 806,078,480,859.40, 1,209,287,534,697.30 and 261,484,455,473.94 is: 392,281,769,120.82
Step by Step Solution
- Step 1: Write the proportion equation
806,078,480,859.40 : 1,209,287,534,697.30 = 261,484,455,473.94 : x - Step 2: Convert to fraction form
806,078,480,859.40/1,209,287,534,697.30 = 261,484,455,473.94/x - Step 3: Cross multiply
806,078,480,859.40x = 1,209,287,534,697.30 × 261,484,455,473.94 - Step 4: Simplify right side
806,078,480,859.40x = 316,209,892,521,746,825,740,288 - Step 5: Solve for x
x = 316,209,892,521,746,825,740,288/806,078,480,859.40 - Step 6: Final answer
x = 392,281,769,120.82
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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.