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Finding the Fourth Proportional to 381,023.46, 571,797.63 and 131,705.46

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Solution

The fourth proportional to 381,023.46, 571,797.63 and 131,705.46 is: 197,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,023.46 : 571,797.63 = 131,705.46 : x
  2. Step 2: Convert to fraction form
    381,023.46/571,797.63 = 131,705.46/x
  3. Step 3: Cross multiply
    381,023.46x = 571,797.63 × 131,705.46
  4. Step 4: Simplify right side
    381,023.46x = 75,308,869,886.06
  5. Step 5: Solve for x
    x = 75,308,869,886.06/381,023.46
  6. Step 6: Final answer
    x = 197,648.91

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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.