Finding the Fourth Proportional to 1,660,294,624.79, 2,291,221,827.64 and 945,819,589.16
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Solution
The fourth proportional to 1,660,294,624.79, 2,291,221,827.64 and 945,819,589.16 is: 1,305,239,717.90
Step by Step Solution
- Step 1: Write the proportion equation
1,660,294,624.79 : 2,291,221,827.64 = 945,819,589.16 : x - Step 2: Convert to fraction form
1,660,294,624.79/2,291,221,827.64 = 945,819,589.16/x - Step 3: Cross multiply
1,660,294,624.79x = 2,291,221,827.64 × 945,819,589.16 - Step 4: Simplify right side
1,660,294,624.79x = 2,167,082,487,692,888,832 - Step 5: Solve for x
x = 2,167,082,487,692,888,832/1,660,294,624.79 - Step 6: Final answer
x = 1,305,239,717.90
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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.