Finding the Fourth Proportional to 257,006.28, 354,637.35 and 142,276.26
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Solution
The fourth proportional to 257,006.28, 354,637.35 and 142,276.26 is: 196,323.90
Step by Step Solution
- Step 1: Write the proportion equation
257,006.28 : 354,637.35 = 142,276.26 : x - Step 2: Convert to fraction form
257,006.28/354,637.35 = 142,276.26/x - Step 3: Cross multiply
257,006.28x = 354,637.35 × 142,276.26 - Step 4: Simplify right side
257,006.28x = 50,456,475,814.31 - Step 5: Solve for x
x = 50,456,475,814.31/257,006.28 - Step 6: Final answer
x = 196,323.90
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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.