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Finding the Fourth Proportional to 469,361.28, 647,824.32 and 393,778.56

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Solution

The fourth proportional to 469,361.28, 647,824.32 and 393,778.56 is: 543,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,361.28 : 647,824.32 = 393,778.56 : x
  2. Step 2: Convert to fraction form
    469,361.28/647,824.32 = 393,778.56/x
  3. Step 3: Cross multiply
    469,361.28x = 647,824.32 × 393,778.56
  4. Step 4: Simplify right side
    469,361.28x = 255,099,327,862.58
  5. Step 5: Solve for x
    x = 255,099,327,862.58/469,361.28
  6. Step 6: Final answer
    x = 543,503.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.