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Finding the Fourth Proportional to 552,880.32, 762,974.04 and 311,164.56

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Solution

The fourth proportional to 552,880.32, 762,974.04 and 311,164.56 is: 429,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,880.32 : 762,974.04 = 311,164.56 : x
  2. Step 2: Convert to fraction form
    552,880.32/762,974.04 = 311,164.56/x
  3. Step 3: Cross multiply
    552,880.32x = 762,974.04 × 311,164.56
  4. Step 4: Simplify right side
    552,880.32x = 237,410,481,448.02
  5. Step 5: Solve for x
    x = 237,410,481,448.02/552,880.32
  6. Step 6: Final answer
    x = 429,406.64

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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.