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Finding the Fourth Proportional to 256,471.50, 353,930.67 and 143,304.78

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Solution

The fourth proportional to 256,471.50, 353,930.67 and 143,304.78 is: 197,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,471.50 : 353,930.67 = 143,304.78 : x
  2. Step 2: Convert to fraction form
    256,471.50/353,930.67 = 143,304.78/x
  3. Step 3: Cross multiply
    256,471.50x = 353,930.67 × 143,304.78
  4. Step 4: Simplify right side
    256,471.50x = 50,719,956,799.60
  5. Step 5: Solve for x
    x = 50,719,956,799.60/256,471.50
  6. Step 6: Final answer
    x = 197,760.60

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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.