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Finding the Fourth Proportional to 285,563.52, 428,366.32 and 75,200

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Solution

The fourth proportional to 285,563.52, 428,366.32 and 75,200 is: 112,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,563.52 : 428,366.32 = 75,200 : x
  2. Step 2: Convert to fraction form
    285,563.52/428,366.32 = 75,200/x
  3. Step 3: Cross multiply
    285,563.52x = 428,366.32 × 75,200
  4. Step 4: Simplify right side
    285,563.52x = 32,213,147,264
  5. Step 5: Solve for x
    x = 32,213,147,264/285,563.52
  6. Step 6: Final answer
    x = 112,805.54

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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.