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Finding the Fourth Proportional to 256,635.78, 354,165.21 and 143,463.30

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Solution

The fourth proportional to 256,635.78, 354,165.21 and 143,463.30 is: 197,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,635.78 : 354,165.21 = 143,463.30 : x
  2. Step 2: Convert to fraction form
    256,635.78/354,165.21 = 143,463.30/x
  3. Step 3: Cross multiply
    256,635.78x = 354,165.21 × 143,463.30
  4. Step 4: Simplify right side
    256,635.78x = 50,809,709,771.79
  5. Step 5: Solve for x
    x = 50,809,709,771.79/256,635.78
  6. Step 6: Final answer
    x = 197,983.73

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1.5x scale

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.