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Finding the Fourth Proportional to 273,139.80, 410,016.90 and 211,085.40

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Solution

The fourth proportional to 273,139.80, 410,016.90 and 211,085.40 is: 316,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,139.80 : 410,016.90 = 211,085.40 : x
  2. Step 2: Convert to fraction form
    273,139.80/410,016.90 = 211,085.40/x
  3. Step 3: Cross multiply
    273,139.80x = 410,016.90 × 211,085.40
  4. Step 4: Simplify right side
    273,139.80x = 86,548,581,343.26
  5. Step 5: Solve for x
    x = 86,548,581,343.26/273,139.80
  6. Step 6: Final answer
    x = 316,865.51

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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.