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Finding the Fourth Proportional to 403,223.12, 556,216.12 and 252,057.68

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Solution

The fourth proportional to 403,223.12, 556,216.12 and 252,057.68 is: 347,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,223.12 : 556,216.12 = 252,057.68 : x
  2. Step 2: Convert to fraction form
    403,223.12/556,216.12 = 252,057.68/x
  3. Step 3: Cross multiply
    403,223.12x = 556,216.12 × 252,057.68
  4. Step 4: Simplify right side
    403,223.12x = 140,198,544,785.80
  5. Step 5: Solve for x
    x = 140,198,544,785.80/403,223.12
  6. Step 6: Final answer
    x = 347,694.71

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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.