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Finding the Fourth Proportional to 256,082.64, 353,427.48 and 142,928.88

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Solution

The fourth proportional to 256,082.64, 353,427.48 and 142,928.88 is: 197,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.64 : 353,427.48 = 142,928.88 : x
  2. Step 2: Convert to fraction form
    256,082.64/353,427.48 = 142,928.88/x
  3. Step 3: Cross multiply
    256,082.64x = 353,427.48 × 142,928.88
  4. Step 4: Simplify right side
    256,082.64x = 50,514,993,877.62
  5. Step 5: Solve for x
    x = 50,514,993,877.62/256,082.64
  6. Step 6: Final answer
    x = 197,260.52

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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.