Finding the Fourth Proportional to 842,824.24, 1,163,002.20 and 498,670.72
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Solution
The fourth proportional to 842,824.24, 1,163,002.20 and 498,670.72 is: 688,109.24
Step by Step Solution
- Step 1: Write the proportion equation
842,824.24 : 1,163,002.20 = 498,670.72 : x - Step 2: Convert to fraction form
842,824.24/1,163,002.20 = 498,670.72/x - Step 3: Cross multiply
842,824.24x = 1,163,002.20 × 498,670.72 - Step 4: Simplify right side
842,824.24x = 579,955,144,435.58 - Step 5: Solve for x
x = 579,955,144,435.58/842,824.24 - Step 6: Final answer
x = 688,109.24
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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.