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Finding the Fourth Proportional to 260,552.70, 390,958.65 and 102,786.30

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Solution

The fourth proportional to 260,552.70, 390,958.65 and 102,786.30 is: 154,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,552.70 : 390,958.65 = 102,786.30 : x
  2. Step 2: Convert to fraction form
    260,552.70/390,958.65 = 102,786.30/x
  3. Step 3: Cross multiply
    260,552.70x = 390,958.65 × 102,786.30
  4. Step 4: Simplify right side
    260,552.70x = 40,185,193,086.50
  5. Step 5: Solve for x
    x = 40,185,193,086.50/260,552.70
  6. Step 6: Final answer
    x = 154,230.58

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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.