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Finding the Fourth Proportional to 275,138.39, 412,499.59 and 180,392.40

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Solution

The fourth proportional to 275,138.39, 412,499.59 and 180,392.40 is: 270,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,138.39 : 412,499.59 = 180,392.40 : x
  2. Step 2: Convert to fraction form
    275,138.39/412,499.59 = 180,392.40/x
  3. Step 3: Cross multiply
    275,138.39x = 412,499.59 × 180,392.40
  4. Step 4: Simplify right side
    275,138.39x = 74,411,790,588.14
  5. Step 5: Solve for x
    x = 74,411,790,588.14/275,138.39
  6. Step 6: Final answer
    x = 270,452.23

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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.