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Finding the Fourth Proportional to 257,046.88, 354,726.48 and 149,679.52

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Solution

The fourth proportional to 257,046.88, 354,726.48 and 149,679.52 is: 206,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,046.88 : 354,726.48 = 149,679.52 : x
  2. Step 2: Convert to fraction form
    257,046.88/354,726.48 = 149,679.52/x
  3. Step 3: Cross multiply
    257,046.88x = 354,726.48 × 149,679.52
  4. Step 4: Simplify right side
    257,046.88x = 53,095,289,257.69
  5. Step 5: Solve for x
    x = 53,095,289,257.69/257,046.88
  6. Step 6: Final answer
    x = 206,558.78

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1.5x scale

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.