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Finding the Fourth Proportional to 274,504.40, 411,065.40 and 180,501.20

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Solution

The fourth proportional to 274,504.40, 411,065.40 and 180,501.20 is: 270,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,504.40 : 411,065.40 = 180,501.20 : x
  2. Step 2: Convert to fraction form
    274,504.40/411,065.40 = 180,501.20/x
  3. Step 3: Cross multiply
    274,504.40x = 411,065.40 × 180,501.20
  4. Step 4: Simplify right side
    274,504.40x = 74,197,797,978.48
  5. Step 5: Solve for x
    x = 74,197,797,978.48/274,504.40
  6. Step 6: Final answer
    x = 270,297.30

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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.