Finding the Fourth Proportional to 1,005,498,340.97, 1,387,565,950.84 and 582,129,853.52
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Solution
The fourth proportional to 1,005,498,340.97, 1,387,565,950.84 and 582,129,853.52 is: 803,326,600.15
Step by Step Solution
- Step 1: Write the proportion equation
1,005,498,340.97 : 1,387,565,950.84 = 582,129,853.52 : x - Step 2: Convert to fraction form
1,005,498,340.97/1,387,565,950.84 = 582,129,853.52/x - Step 3: Cross multiply
1,005,498,340.97x = 1,387,565,950.84 × 582,129,853.52 - Step 4: Simplify right side
1,005,498,340.97x = 807,743,563,703,435,648 - Step 5: Solve for x
x = 807,743,563,703,435,648/1,005,498,340.97 - Step 6: Final answer
x = 803,326,600.15
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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.