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Finding the Fourth Proportional to 260,698.76, 391,196.06 and 140,754.11

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Solution

The fourth proportional to 260,698.76, 391,196.06 and 140,754.11 is: 211,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.76 : 391,196.06 = 140,754.11 : x
  2. Step 2: Convert to fraction form
    260,698.76/391,196.06 = 140,754.11/x
  3. Step 3: Cross multiply
    260,698.76x = 391,196.06 × 140,754.11
  4. Step 4: Simplify right side
    260,698.76x = 55,062,450,601.06
  5. Step 5: Solve for x
    x = 55,062,450,601.06/260,698.76
  6. Step 6: Final answer
    x = 211,211.02

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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.