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Finding the Fourth Proportional to 273,619.80, 410,429.70 and 86,631.30

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Solution

The fourth proportional to 273,619.80, 410,429.70 and 86,631.30 is: 129,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,619.80 : 410,429.70 = 86,631.30 : x
  2. Step 2: Convert to fraction form
    273,619.80/410,429.70 = 86,631.30/x
  3. Step 3: Cross multiply
    273,619.80x = 410,429.70 × 86,631.30
  4. Step 4: Simplify right side
    273,619.80x = 35,556,058,469.61
  5. Step 5: Solve for x
    x = 35,556,058,469.61/273,619.80
  6. Step 6: Final answer
    x = 129,946.95

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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.