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Finding the Fourth Proportional to 256,498.80, 353,968.02 and 143,321.55

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Solution

The fourth proportional to 256,498.80, 353,968.02 and 143,321.55 is: 197,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.80 : 353,968.02 = 143,321.55 : x
  2. Step 2: Convert to fraction form
    256,498.80/353,968.02 = 143,321.55/x
  3. Step 3: Cross multiply
    256,498.80x = 353,968.02 × 143,321.55
  4. Step 4: Simplify right side
    256,498.80x = 50,731,245,276.83
  5. Step 5: Solve for x
    x = 50,731,245,276.83/256,498.80
  6. Step 6: Final answer
    x = 197,783.56

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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.