Finding the Fourth Proportional to 460,735.84, 689,542.80 and 283,355.20
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Solution
The fourth proportional to 460,735.84, 689,542.80 and 283,355.20 is: 424,072.80
Step by Step Solution
- Step 1: Write the proportion equation
460,735.84 : 689,542.80 = 283,355.20 : x - Step 2: Convert to fraction form
460,735.84/689,542.80 = 283,355.20/x - Step 3: Cross multiply
460,735.84x = 689,542.80 × 283,355.20 - Step 4: Simplify right side
460,735.84x = 195,385,538,002.56 - Step 5: Solve for x
x = 195,385,538,002.56/460,735.84 - Step 6: Final answer
x = 424,072.80
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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.