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Finding the Fourth Proportional to 256,524.71, 384,288.84 and 123,498.41

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Solution

The fourth proportional to 256,524.71, 384,288.84 and 123,498.41 is: 185,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,524.71 : 384,288.84 = 123,498.41 : x
  2. Step 2: Convert to fraction form
    256,524.71/384,288.84 = 123,498.41/x
  3. Step 3: Cross multiply
    256,524.71x = 384,288.84 × 123,498.41
  4. Step 4: Simplify right side
    256,524.71x = 47,459,058,799.30
  5. Step 5: Solve for x
    x = 47,459,058,799.30/256,524.71
  6. Step 6: Final answer
    x = 185,007.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.