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Finding the Fourth Proportional to 392,315.06, 541,255.54 and 256,427.48

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Solution

The fourth proportional to 392,315.06, 541,255.54 and 256,427.48 is: 353,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,315.06 : 541,255.54 = 256,427.48 : x
  2. Step 2: Convert to fraction form
    392,315.06/541,255.54 = 256,427.48/x
  3. Step 3: Cross multiply
    392,315.06x = 541,255.54 × 256,427.48
  4. Step 4: Simplify right side
    392,315.06x = 138,792,794,158.24
  5. Step 5: Solve for x
    x = 138,792,794,158.24/392,315.06
  6. Step 6: Final answer
    x = 353,778.91

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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.