Finding the Fourth Proportional to 998,213,682.92, 1,497,456,719.80 and 415,811,726.30
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Solution
The fourth proportional to 998,213,682.92, 1,497,456,719.80 and 415,811,726.30 is: 623,774,322.45
Step by Step Solution
- Step 1: Write the proportion equation
998,213,682.92 : 1,497,456,719.80 = 415,811,726.30 : x - Step 2: Convert to fraction form
998,213,682.92/1,497,456,719.80 = 415,811,726.30/x - Step 3: Cross multiply
998,213,682.92x = 1,497,456,719.80 × 415,811,726.30 - Step 4: Simplify right side
998,213,682.92x = 622,660,063,722,277,504 - Step 5: Solve for x
x = 622,660,063,722,277,504/998,213,682.92 - Step 6: Final answer
x = 623,774,322.45
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.