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Finding the Fourth Proportional to 381,520, 572,141.76 and 171,049.60

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Solution

The fourth proportional to 381,520, 572,141.76 and 171,049.60 is: 256,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,520 : 572,141.76 = 171,049.60 : x
  2. Step 2: Convert to fraction form
    381,520/572,141.76 = 171,049.60/x
  3. Step 3: Cross multiply
    381,520x = 572,141.76 × 171,049.60
  4. Step 4: Simplify right side
    381,520x = 97,864,619,191.30
  5. Step 5: Solve for x
    x = 97,864,619,191.30/381,520
  6. Step 6: Final answer
    x = 256,512.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.