Finding the Fourth Proportional to 1,410,742,514.52, 1,946,589,347.88 and 784,125,745.92
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Solution
The fourth proportional to 1,410,742,514.52, 1,946,589,347.88 and 784,125,745.92 is: 1,081,962,731.47
Step by Step Solution
- Step 1: Write the proportion equation
1,410,742,514.52 : 1,946,589,347.88 = 784,125,745.92 : x - Step 2: Convert to fraction form
1,410,742,514.52/1,946,589,347.88 = 784,125,745.92/x - Step 3: Cross multiply
1,410,742,514.52x = 1,946,589,347.88 × 784,125,745.92 - Step 4: Simplify right side
1,410,742,514.52x = 1,526,370,824,406,331,392 - Step 5: Solve for x
x = 1,526,370,824,406,331,392/1,410,742,514.52 - Step 6: Final answer
x = 1,081,962,731.47
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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.