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Finding the Fourth Proportional to 257,952.50, 355,974.44 and 144,775.25

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Solution

The fourth proportional to 257,952.50, 355,974.44 and 144,775.25 is: 199,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,952.50 : 355,974.44 = 144,775.25 : x
  2. Step 2: Convert to fraction form
    257,952.50/355,974.44 = 144,775.25/x
  3. Step 3: Cross multiply
    257,952.50x = 355,974.44 × 144,775.25
  4. Step 4: Simplify right side
    257,952.50x = 51,536,286,040.86
  5. Step 5: Solve for x
    x = 51,536,286,040.86/257,952.50
  6. Step 6: Final answer
    x = 199,789.83

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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.