Finding the Fourth Proportional to 840,492,779.87, 1,159,867,928.75 and 464,165,291.09
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Solution
The fourth proportional to 840,492,779.87, 1,159,867,928.75 and 464,165,291.09 is: 640,541,415.31
Step by Step Solution
- Step 1: Write the proportion equation
840,492,779.87 : 1,159,867,928.75 = 464,165,291.09 : x - Step 2: Convert to fraction form
840,492,779.87/1,159,867,928.75 = 464,165,291.09/x - Step 3: Cross multiply
840,492,779.87x = 1,159,867,928.75 × 464,165,291.09 - Step 4: Simplify right side
840,492,779.87x = 538,370,434,774,777,856 - Step 5: Solve for x
x = 538,370,434,774,777,856/840,492,779.87 - Step 6: Final answer
x = 640,541,415.31
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1.5x scale
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.