Finding the Fourth Proportional to 971,215.80, 1,456,823.70 and 498,823.80
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Solution
The fourth proportional to 971,215.80, 1,456,823.70 and 498,823.80 is: 748,235.70
Step by Step Solution
- Step 1: Write the proportion equation
971,215.80 : 1,456,823.70 = 498,823.80 : x - Step 2: Convert to fraction form
971,215.80/1,456,823.70 = 498,823.80/x - Step 3: Cross multiply
971,215.80x = 1,456,823.70 × 498,823.80 - Step 4: Simplify right side
971,215.80x = 726,698,333,964.06 - Step 5: Solve for x
x = 726,698,333,964.06/971,215.80 - Step 6: Final answer
x = 748,235.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.