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Finding the Fourth Proportional to 285,952.72, 428,629.78 and 96,347.60

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Solution

The fourth proportional to 285,952.72, 428,629.78 and 96,347.60 is: 144,420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,952.72 : 428,629.78 = 96,347.60 : x
  2. Step 2: Convert to fraction form
    285,952.72/428,629.78 = 96,347.60/x
  3. Step 3: Cross multiply
    285,952.72x = 428,629.78 × 96,347.60
  4. Step 4: Simplify right side
    285,952.72x = 41,297,450,591.53
  5. Step 5: Solve for x
    x = 41,297,450,591.53/285,952.72
  6. Step 6: Final answer
    x = 144,420.56

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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.