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Finding the Fourth Proportional to 272,004.40, 408,006.60 and 270,449.20

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Solution

The fourth proportional to 272,004.40, 408,006.60 and 270,449.20 is: 405,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004.40 : 408,006.60 = 270,449.20 : x
  2. Step 2: Convert to fraction form
    272,004.40/408,006.60 = 270,449.20/x
  3. Step 3: Cross multiply
    272,004.40x = 408,006.60 × 270,449.20
  4. Step 4: Simplify right side
    272,004.40x = 110,345,058,564.72
  5. Step 5: Solve for x
    x = 110,345,058,564.72/272,004.40
  6. Step 6: Final answer
    x = 405,673.80

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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.