Finding the Fourth Proportional to 407,462,562.70, 611,193,844.05 and 293,521,612.30
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Solution
The fourth proportional to 407,462,562.70, 611,193,844.05 and 293,521,612.30 is: 440,282,418.45
Step by Step Solution
- Step 1: Write the proportion equation
407,462,562.70 : 611,193,844.05 = 293,521,612.30 : x - Step 2: Convert to fraction form
407,462,562.70/611,193,844.05 = 293,521,612.30/x - Step 3: Cross multiply
407,462,562.70x = 611,193,844.05 × 293,521,612.30 - Step 4: Simplify right side
407,462,562.70x = 179,398,602,533,390,752 - Step 5: Solve for x
x = 179,398,602,533,390,752/407,462,562.70 - Step 6: Final answer
x = 440,282,418.45
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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.