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Finding the Fourth Proportional to 400,464.36, 552,419.46 and 257,245.56

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Solution

The fourth proportional to 400,464.36, 552,419.46 and 257,245.56 is: 354,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,464.36 : 552,419.46 = 257,245.56 : x
  2. Step 2: Convert to fraction form
    400,464.36/552,419.46 = 257,245.56/x
  3. Step 3: Cross multiply
    400,464.36x = 552,419.46 × 257,245.56
  4. Step 4: Simplify right side
    400,464.36x = 142,107,453,342.60
  5. Step 5: Solve for x
    x = 142,107,453,342.60/400,464.36
  6. Step 6: Final answer
    x = 354,856.68

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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.