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Finding the Fourth Proportional to 260,768.40, 391,055.40 and 102,964.20

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Solution

The fourth proportional to 260,768.40, 391,055.40 and 102,964.20 is: 154,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,768.40 : 391,055.40 = 102,964.20 : x
  2. Step 2: Convert to fraction form
    260,768.40/391,055.40 = 102,964.20/x
  3. Step 3: Cross multiply
    260,768.40x = 391,055.40 × 102,964.20
  4. Step 4: Simplify right side
    260,768.40x = 40,264,706,416.68
  5. Step 5: Solve for x
    x = 40,264,706,416.68/260,768.40
  6. Step 6: Final answer
    x = 154,407.92

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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.