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Finding the Fourth Proportional to 285,357.12, 428,068.50 and 167,029.50

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Solution

The fourth proportional to 285,357.12, 428,068.50 and 167,029.50 is: 250,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,357.12 : 428,068.50 = 167,029.50 : x
  2. Step 2: Convert to fraction form
    285,357.12/428,068.50 = 167,029.50/x
  3. Step 3: Cross multiply
    285,357.12x = 428,068.50 × 167,029.50
  4. Step 4: Simplify right side
    285,357.12x = 71,500,067,520.75
  5. Step 5: Solve for x
    x = 71,500,067,520.75/285,357.12
  6. Step 6: Final answer
    x = 250,563.46

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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.