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Finding the Fourth Proportional to 257,273.88, 355,048.95 and 149,826.57

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Solution

The fourth proportional to 257,273.88, 355,048.95 and 149,826.57 is: 206,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,273.88 : 355,048.95 = 149,826.57 : x
  2. Step 2: Convert to fraction form
    257,273.88/355,048.95 = 149,826.57/x
  3. Step 3: Cross multiply
    257,273.88x = 355,048.95 × 149,826.57
  4. Step 4: Simplify right side
    257,273.88x = 53,195,766,360.60
  5. Step 5: Solve for x
    x = 53,195,766,360.60/257,273.88
  6. Step 6: Final answer
    x = 206,767.07

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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.