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Finding the Fourth Proportional to 259,802.80, 389,704.20 and 212,563.60

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Solution

The fourth proportional to 259,802.80, 389,704.20 and 212,563.60 is: 318,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,802.80 : 389,704.20 = 212,563.60 : x
  2. Step 2: Convert to fraction form
    259,802.80/389,704.20 = 212,563.60/x
  3. Step 3: Cross multiply
    259,802.80x = 389,704.20 × 212,563.60
  4. Step 4: Simplify right side
    259,802.80x = 82,836,927,687.12
  5. Step 5: Solve for x
    x = 82,836,927,687.12/259,802.80
  6. Step 6: Final answer
    x = 318,845.40

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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.