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Finding the Fourth Proportional to 274,405.61, 411,608.43 and 180,889.49

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Solution

The fourth proportional to 274,405.61, 411,608.43 and 180,889.49 is: 271,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,405.61 : 411,608.43 = 180,889.49 : x
  2. Step 2: Convert to fraction form
    274,405.61/411,608.43 = 180,889.49/x
  3. Step 3: Cross multiply
    274,405.61x = 411,608.43 × 180,889.49
  4. Step 4: Simplify right side
    274,405.61x = 74,455,640,011.42
  5. Step 5: Solve for x
    x = 74,455,640,011.42/274,405.61
  6. Step 6: Final answer
    x = 271,334.25

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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.