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Finding the Fourth Proportional to 683,409.92, 1,025,116.80 and 402,540.80

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Solution

The fourth proportional to 683,409.92, 1,025,116.80 and 402,540.80 is: 603,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,409.92 : 1,025,116.80 = 402,540.80 : x
  2. Step 2: Convert to fraction form
    683,409.92/1,025,116.80 = 402,540.80/x
  3. Step 3: Cross multiply
    683,409.92x = 1,025,116.80 × 402,540.80
  4. Step 4: Simplify right side
    683,409.92x = 412,651,336,765.44
  5. Step 5: Solve for x
    x = 412,651,336,765.44/683,409.92
  6. Step 6: Final answer
    x = 603,812.33

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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.