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Finding the Fourth Proportional to 255,101.10, 382,651.65 and 225,576.60

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Solution

The fourth proportional to 255,101.10, 382,651.65 and 225,576.60 is: 338,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,101.10 : 382,651.65 = 225,576.60 : x
  2. Step 2: Convert to fraction form
    255,101.10/382,651.65 = 225,576.60/x
  3. Step 3: Cross multiply
    255,101.10x = 382,651.65 × 225,576.60
  4. Step 4: Simplify right side
    255,101.10x = 86,317,258,191.39
  5. Step 5: Solve for x
    x = 86,317,258,191.39/255,101.10
  6. Step 6: Final answer
    x = 338,364.90

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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.