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Finding the Fourth Proportional to 272,563.20, 408,844.80 and 213,449.40

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Solution

The fourth proportional to 272,563.20, 408,844.80 and 213,449.40 is: 320,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,563.20 : 408,844.80 = 213,449.40 : x
  2. Step 2: Convert to fraction form
    272,563.20/408,844.80 = 213,449.40/x
  3. Step 3: Cross multiply
    272,563.20x = 408,844.80 × 213,449.40
  4. Step 4: Simplify right side
    272,563.20x = 87,267,677,253.12
  5. Step 5: Solve for x
    x = 87,267,677,253.12/272,563.20
  6. Step 6: Final answer
    x = 320,174.10

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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.