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Finding the Fourth Proportional to 285,394.83, 428,096.49 and 135,650.53

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Solution

The fourth proportional to 285,394.83, 428,096.49 and 135,650.53 is: 203,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,394.83 : 428,096.49 = 135,650.53 : x
  2. Step 2: Convert to fraction form
    285,394.83/428,096.49 = 135,650.53/x
  3. Step 3: Cross multiply
    285,394.83x = 428,096.49 × 135,650.53
  4. Step 4: Simplify right side
    285,394.83x = 58,071,515,759.64
  5. Step 5: Solve for x
    x = 58,071,515,759.64/285,394.83
  6. Step 6: Final answer
    x = 203,477.81

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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.