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Finding the Fourth Proportional to 285,296.80, 427,945.20 and 174,704.80

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Solution

The fourth proportional to 285,296.80, 427,945.20 and 174,704.80 is: 262,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,296.80 : 427,945.20 = 174,704.80 : x
  2. Step 2: Convert to fraction form
    285,296.80/427,945.20 = 174,704.80/x
  3. Step 3: Cross multiply
    285,296.80x = 427,945.20 × 174,704.80
  4. Step 4: Simplify right side
    285,296.80x = 74,764,080,576.96
  5. Step 5: Solve for x
    x = 74,764,080,576.96/285,296.80
  6. Step 6: Final answer
    x = 262,057.20

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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.