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Finding the Fourth Proportional to 381,023.96, 571,798.38 and 131,705.96

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Solution

The fourth proportional to 381,023.96, 571,798.38 and 131,705.96 is: 197,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,023.96 : 571,798.38 = 131,705.96 : x
  2. Step 2: Convert to fraction form
    381,023.96/571,798.38 = 131,705.96/x
  3. Step 3: Cross multiply
    381,023.96x = 571,798.38 × 131,705.96
  4. Step 4: Simplify right side
    381,023.96x = 75,309,254,564.34
  5. Step 5: Solve for x
    x = 75,309,254,564.34/381,023.96
  6. Step 6: Final answer
    x = 197,649.66

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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.