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Finding the Fourth Proportional to 680,487.54, 1,020,734.19 and 275,687.64

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Solution

The fourth proportional to 680,487.54, 1,020,734.19 and 275,687.64 is: 413,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,487.54 : 1,020,734.19 = 275,687.64 : x
  2. Step 2: Convert to fraction form
    680,487.54/1,020,734.19 = 275,687.64/x
  3. Step 3: Cross multiply
    680,487.54x = 1,020,734.19 × 275,687.64
  4. Step 4: Simplify right side
    680,487.54x = 281,403,799,908.41
  5. Step 5: Solve for x
    x = 281,403,799,908.41/680,487.54
  6. Step 6: Final answer
    x = 413,532.63

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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.