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Finding the Fourth Proportional to 485,808.90, 727,729.20 and 275,200.80

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Solution

The fourth proportional to 485,808.90, 727,729.20 and 275,200.80 is: 412,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,808.90 : 727,729.20 = 275,200.80 : x
  2. Step 2: Convert to fraction form
    485,808.90/727,729.20 = 275,200.80/x
  3. Step 3: Cross multiply
    485,808.90x = 727,729.20 × 275,200.80
  4. Step 4: Simplify right side
    485,808.90x = 200,271,658,023.36
  5. Step 5: Solve for x
    x = 200,271,658,023.36/485,808.90
  6. Step 6: Final answer
    x = 412,243.70

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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.