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Finding the Fourth Proportional to 381,753.80, 572,141.10 and 213,273.80

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Solution

The fourth proportional to 381,753.80, 572,141.10 and 213,273.80 is: 319,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,753.80 : 572,141.10 = 213,273.80 : x
  2. Step 2: Convert to fraction form
    381,753.80/572,141.10 = 213,273.80/x
  3. Step 3: Cross multiply
    381,753.80x = 572,141.10 × 213,273.80
  4. Step 4: Simplify right side
    381,753.80x = 122,022,706,533.18
  5. Step 5: Solve for x
    x = 122,022,706,533.18/381,753.80
  6. Step 6: Final answer
    x = 319,637.18

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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.