Finding the Fourth Proportional to 497,270,322.87, 745,778,252.18 and 147,434,586.96
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Solution
The fourth proportional to 497,270,322.87, 745,778,252.18 and 147,434,586.96 is: 221,114,157.66
Step by Step Solution
- Step 1: Write the proportion equation
497,270,322.87 : 745,778,252.18 = 147,434,586.96 : x - Step 2: Convert to fraction form
497,270,322.87/745,778,252.18 = 147,434,586.96/x - Step 3: Cross multiply
497,270,322.87x = 745,778,252.18 × 147,434,586.96 - Step 4: Simplify right side
497,270,322.87x = 109,953,508,573,171,840 - Step 5: Solve for x
x = 109,953,508,573,171,840/497,270,322.87 - Step 6: Final answer
x = 221,114,157.66
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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.