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Finding the Fourth Proportional to 392,648.12, 589,027.86 and 126,346.76

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Solution

The fourth proportional to 392,648.12, 589,027.86 and 126,346.76 is: 189,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,648.12 : 589,027.86 = 126,346.76 : x
  2. Step 2: Convert to fraction form
    392,648.12/589,027.86 = 126,346.76/x
  3. Step 3: Cross multiply
    392,648.12x = 589,027.86 × 126,346.76
  4. Step 4: Simplify right side
    392,648.12x = 74,421,761,660.73
  5. Step 5: Solve for x
    x = 74,421,761,660.73/392,648.12
  6. Step 6: Final answer
    x = 189,538.06

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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.