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Finding the Fourth Proportional to 256,540.88, 354,125.40 and 229,635.92

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Solution

The fourth proportional to 256,540.88, 354,125.40 and 229,635.92 is: 316,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,540.88 : 354,125.40 = 229,635.92 : x
  2. Step 2: Convert to fraction form
    256,540.88/354,125.40 = 229,635.92/x
  3. Step 3: Cross multiply
    256,540.88x = 354,125.40 × 229,635.92
  4. Step 4: Simplify right side
    256,540.88x = 81,319,912,024.37
  5. Step 5: Solve for x
    x = 81,319,912,024.37/256,540.88
  6. Step 6: Final answer
    x = 316,986.17

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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.