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Finding the Fourth Proportional to 256,672.26, 354,040.88 and 164,645.91

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Solution

The fourth proportional to 256,672.26, 354,040.88 and 164,645.91 is: 227,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,672.26 : 354,040.88 = 164,645.91 : x
  2. Step 2: Convert to fraction form
    256,672.26/354,040.88 = 164,645.91/x
  3. Step 3: Cross multiply
    256,672.26x = 354,040.88 × 164,645.91
  4. Step 4: Simplify right side
    256,672.26x = 58,291,382,041.57
  5. Step 5: Solve for x
    x = 58,291,382,041.57/256,672.26
  6. Step 6: Final answer
    x = 227,104.33

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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.