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Finding the Fourth Proportional to 454,865.40, 682,954.20 and 343,328.40

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Solution

The fourth proportional to 454,865.40, 682,954.20 and 343,328.40 is: 515,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,865.40 : 682,954.20 = 343,328.40 : x
  2. Step 2: Convert to fraction form
    454,865.40/682,954.20 = 343,328.40/x
  3. Step 3: Cross multiply
    454,865.40x = 682,954.20 × 343,328.40
  4. Step 4: Simplify right side
    454,865.40x = 234,477,572,759.28
  5. Step 5: Solve for x
    x = 234,477,572,759.28/454,865.40
  6. Step 6: Final answer
    x = 515,487.82

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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.