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Finding the Fourth Proportional to 274,257.80, 411,386.70 and 87,288.20

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Solution

The fourth proportional to 274,257.80, 411,386.70 and 87,288.20 is: 130,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,257.80 : 411,386.70 = 87,288.20 : x
  2. Step 2: Convert to fraction form
    274,257.80/411,386.70 = 87,288.20/x
  3. Step 3: Cross multiply
    274,257.80x = 411,386.70 × 87,288.20
  4. Step 4: Simplify right side
    274,257.80x = 35,909,204,546.94
  5. Step 5: Solve for x
    x = 35,909,204,546.94/274,257.80
  6. Step 6: Final answer
    x = 130,932.30

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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.