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Finding the Fourth Proportional to 257,521.25, 355,390.26 and 144,344

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Solution

The fourth proportional to 257,521.25, 355,390.26 and 144,344 is: 199,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,521.25 : 355,390.26 = 144,344 : x
  2. Step 2: Convert to fraction form
    257,521.25/355,390.26 = 144,344/x
  3. Step 3: Cross multiply
    257,521.25x = 355,390.26 × 144,344
  4. Step 4: Simplify right side
    257,521.25x = 51,298,451,689.44
  5. Step 5: Solve for x
    x = 51,298,451,689.44/257,521.25
  6. Step 6: Final answer
    x = 199,200.85

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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.