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Finding the Fourth Proportional to 260,810.75, 391,274.75 and 140,865.14

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Solution

The fourth proportional to 260,810.75, 391,274.75 and 140,865.14 is: 211,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,810.75 : 391,274.75 = 140,865.14 : x
  2. Step 2: Convert to fraction form
    260,810.75/391,274.75 = 140,865.14/x
  3. Step 3: Cross multiply
    260,810.75x = 391,274.75 × 140,865.14
  4. Step 4: Simplify right side
    260,810.75x = 55,116,973,767.56
  5. Step 5: Solve for x
    x = 55,116,973,767.56/260,810.75
  6. Step 6: Final answer
    x = 211,329.38

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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.