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Finding the Fourth Proportional to 485,401.60, 727,843.20 and 204,601.60

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Solution

The fourth proportional to 485,401.60, 727,843.20 and 204,601.60 is: 306,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,401.60 : 727,843.20 = 204,601.60 : x
  2. Step 2: Convert to fraction form
    485,401.60/727,843.20 = 204,601.60/x
  3. Step 3: Cross multiply
    485,401.60x = 727,843.20 × 204,601.60
  4. Step 4: Simplify right side
    485,401.60x = 148,917,883,269.12
  5. Step 5: Solve for x
    x = 148,917,883,269.12/485,401.60
  6. Step 6: Final answer
    x = 306,793.14

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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.