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Finding the Fourth Proportional to 257,429.44, 355,262.24 and 144,248

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Solution

The fourth proportional to 257,429.44, 355,262.24 and 144,248 is: 199,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,429.44 : 355,262.24 = 144,248 : x
  2. Step 2: Convert to fraction form
    257,429.44/355,262.24 = 144,248/x
  3. Step 3: Cross multiply
    257,429.44x = 355,262.24 × 144,248
  4. Step 4: Simplify right side
    257,429.44x = 51,245,867,595.52
  5. Step 5: Solve for x
    x = 51,245,867,595.52/257,429.44
  6. Step 6: Final answer
    x = 199,067.63

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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.