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Finding the Fourth Proportional to 204,297.60, 306,446.40 and 99,321.60

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Solution

The fourth proportional to 204,297.60, 306,446.40 and 99,321.60 is: 148,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297.60 : 306,446.40 = 99,321.60 : x
  2. Step 2: Convert to fraction form
    204,297.60/306,446.40 = 99,321.60/x
  3. Step 3: Cross multiply
    204,297.60x = 306,446.40 × 99,321.60
  4. Step 4: Simplify right side
    204,297.60x = 30,436,746,762.24
  5. Step 5: Solve for x
    x = 30,436,746,762.24/204,297.60
  6. Step 6: Final answer
    x = 148,982.40

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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.