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Finding the Fourth Proportional to 272,564.60, 408,458.10 and 200,928.20

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Solution

The fourth proportional to 272,564.60, 408,458.10 and 200,928.20 is: 301,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,564.60 : 408,458.10 = 200,928.20 : x
  2. Step 2: Convert to fraction form
    272,564.60/408,458.10 = 200,928.20/x
  3. Step 3: Cross multiply
    272,564.60x = 408,458.10 × 200,928.20
  4. Step 4: Simplify right side
    272,564.60x = 82,070,750,808.42
  5. Step 5: Solve for x
    x = 82,070,750,808.42/272,564.60
  6. Step 6: Final answer
    x = 301,105.69

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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.