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Finding the Fourth Proportional to 285,735.39, 428,560.97 and 75,388.11

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Solution

The fourth proportional to 285,735.39, 428,560.97 and 75,388.11 is: 113,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,735.39 : 428,560.97 = 75,388.11 : x
  2. Step 2: Convert to fraction form
    285,735.39/428,560.97 = 75,388.11/x
  3. Step 3: Cross multiply
    285,735.39x = 428,560.97 × 75,388.11
  4. Step 4: Simplify right side
    285,735.39x = 32,308,401,171.13
  5. Step 5: Solve for x
    x = 32,308,401,171.13/285,735.39
  6. Step 6: Final answer
    x = 113,071.05

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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.