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Finding the Fourth Proportional to 263,708.40, 395,522.04 and 86,216.40

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Solution

The fourth proportional to 263,708.40, 395,522.04 and 86,216.40 is: 129,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,708.40 : 395,522.04 = 86,216.40 : x
  2. Step 2: Convert to fraction form
    263,708.40/395,522.04 = 86,216.40/x
  3. Step 3: Cross multiply
    263,708.40x = 395,522.04 × 86,216.40
  4. Step 4: Simplify right side
    263,708.40x = 34,100,486,409.46
  5. Step 5: Solve for x
    x = 34,100,486,409.46/263,708.40
  6. Step 6: Final answer
    x = 129,311.34

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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.