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Finding the Fourth Proportional to 381,685.80, 572,528.70 and 213,724.20

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Solution

The fourth proportional to 381,685.80, 572,528.70 and 213,724.20 is: 320,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,685.80 : 572,528.70 = 213,724.20 : x
  2. Step 2: Convert to fraction form
    381,685.80/572,528.70 = 213,724.20/x
  3. Step 3: Cross multiply
    381,685.80x = 572,528.70 × 213,724.20
  4. Step 4: Simplify right side
    381,685.80x = 122,363,238,384.54
  5. Step 5: Solve for x
    x = 122,363,238,384.54/381,685.80
  6. Step 6: Final answer
    x = 320,586.30

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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.