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Finding the Fourth Proportional to 260,817.60, 391,226.40 and 102,964.80

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Solution

The fourth proportional to 260,817.60, 391,226.40 and 102,964.80 is: 154,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,817.60 : 391,226.40 = 102,964.80 : x
  2. Step 2: Convert to fraction form
    260,817.60/391,226.40 = 102,964.80/x
  3. Step 3: Cross multiply
    260,817.60x = 391,226.40 × 102,964.80
  4. Step 4: Simplify right side
    260,817.60x = 40,282,548,030.72
  5. Step 5: Solve for x
    x = 40,282,548,030.72/260,817.60
  6. Step 6: Final answer
    x = 154,447.20

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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.