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Finding the Fourth Proportional to 285,519.10, 428,300.52 and 75,154

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Solution

The fourth proportional to 285,519.10, 428,300.52 and 75,154 is: 112,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,519.10 : 428,300.52 = 75,154 : x
  2. Step 2: Convert to fraction form
    285,519.10/428,300.52 = 75,154/x
  3. Step 3: Cross multiply
    285,519.10x = 428,300.52 × 75,154
  4. Step 4: Simplify right side
    285,519.10x = 32,188,497,280.08
  5. Step 5: Solve for x
    x = 32,188,497,280.08/285,519.10
  6. Step 6: Final answer
    x = 112,736.76

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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.