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Finding the Fourth Proportional to 257,437.44, 355,273.32 and 144,256

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Solution

The fourth proportional to 257,437.44, 355,273.32 and 144,256 is: 199,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,437.44 : 355,273.32 = 144,256 : x
  2. Step 2: Convert to fraction form
    257,437.44/355,273.32 = 144,256/x
  3. Step 3: Cross multiply
    257,437.44x = 355,273.32 × 144,256
  4. Step 4: Simplify right side
    257,437.44x = 51,250,308,049.92
  5. Step 5: Solve for x
    x = 51,250,308,049.92/257,437.44
  6. Step 6: Final answer
    x = 199,078.69

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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.