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Finding the Fourth Proportional to 256,128.64, 353,490.96 and 142,974.88

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Solution

The fourth proportional to 256,128.64, 353,490.96 and 142,974.88 is: 197,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,128.64 : 353,490.96 = 142,974.88 : x
  2. Step 2: Convert to fraction form
    256,128.64/353,490.96 = 142,974.88/x
  3. Step 3: Cross multiply
    256,128.64x = 353,490.96 × 142,974.88
  4. Step 4: Simplify right side
    256,128.64x = 50,540,327,587.08
  5. Step 5: Solve for x
    x = 50,540,327,587.08/256,128.64
  6. Step 6: Final answer
    x = 197,324.00

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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.