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Finding the Fourth Proportional to 257,952.66, 355,974.66 and 144,775.41

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Solution

The fourth proportional to 257,952.66, 355,974.66 and 144,775.41 is: 199,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,952.66 : 355,974.66 = 144,775.41 : x
  2. Step 2: Convert to fraction form
    257,952.66/355,974.66 = 144,775.41/x
  3. Step 3: Cross multiply
    257,952.66x = 355,974.66 × 144,775.41
  4. Step 4: Simplify right side
    257,952.66x = 51,536,375,571.24
  5. Step 5: Solve for x
    x = 51,536,375,571.24/257,952.66
  6. Step 6: Final answer
    x = 199,790.06

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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.