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Finding the Fourth Proportional to 285,427.20, 428,205.60 and 167,037.60

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Solution

The fourth proportional to 285,427.20, 428,205.60 and 167,037.60 is: 250,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,427.20 : 428,205.60 = 167,037.60 : x
  2. Step 2: Convert to fraction form
    285,427.20/428,205.60 = 167,037.60/x
  3. Step 3: Cross multiply
    285,427.20x = 428,205.60 × 167,037.60
  4. Step 4: Simplify right side
    285,427.20x = 71,526,435,730.56
  5. Step 5: Solve for x
    x = 71,526,435,730.56/285,427.20
  6. Step 6: Final answer
    x = 250,594.32

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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.