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Finding the Fourth Proportional to 307,213.28, 423,956.42 and 171,255.86

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Solution

The fourth proportional to 307,213.28, 423,956.42 and 171,255.86 is: 236,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,213.28 : 423,956.42 = 171,255.86 : x
  2. Step 2: Convert to fraction form
    307,213.28/423,956.42 = 171,255.86/x
  3. Step 3: Cross multiply
    307,213.28x = 423,956.42 × 171,255.86
  4. Step 4: Simplify right side
    307,213.28x = 72,605,018,333.56
  5. Step 5: Solve for x
    x = 72,605,018,333.56/307,213.28
  6. Step 6: Final answer
    x = 236,334.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.