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Finding the Fourth Proportional to 263,742.40, 395,613.60 and 86,206.60

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Solution

The fourth proportional to 263,742.40, 395,613.60 and 86,206.60 is: 129,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,742.40 : 395,613.60 = 86,206.60 : x
  2. Step 2: Convert to fraction form
    263,742.40/395,613.60 = 86,206.60/x
  3. Step 3: Cross multiply
    263,742.40x = 395,613.60 × 86,206.60
  4. Step 4: Simplify right side
    263,742.40x = 34,104,503,369.76
  5. Step 5: Solve for x
    x = 34,104,503,369.76/263,742.40
  6. Step 6: Final answer
    x = 129,309.90

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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.