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Finding the Fourth Proportional to 381,090.35, 571,856.94 and 170,728.29

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Solution

The fourth proportional to 381,090.35, 571,856.94 and 170,728.29 is: 256,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,090.35 : 571,856.94 = 170,728.29 : x
  2. Step 2: Convert to fraction form
    381,090.35/571,856.94 = 170,728.29/x
  3. Step 3: Cross multiply
    381,090.35x = 571,856.94 × 170,728.29
  4. Step 4: Simplify right side
    381,090.35x = 97,632,157,490.83
  5. Step 5: Solve for x
    x = 97,632,157,490.83/381,090.35
  6. Step 6: Final answer
    x = 256,191.63

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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.