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Finding the Fourth Proportional to 257,857.20, 356,651.64 and 228,049.20

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Solution

The fourth proportional to 257,857.20, 356,651.64 and 228,049.20 is: 315,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,857.20 : 356,651.64 = 228,049.20 : x
  2. Step 2: Convert to fraction form
    257,857.20/356,651.64 = 228,049.20/x
  3. Step 3: Cross multiply
    257,857.20x = 356,651.64 × 228,049.20
  4. Step 4: Simplify right side
    257,857.20x = 81,334,121,180.69
  5. Step 5: Solve for x
    x = 81,334,121,180.69/257,857.20
  6. Step 6: Final answer
    x = 315,423.11

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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.