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Finding the Fourth Proportional to 285,357.26, 428,064.21 and 105,489.83

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Solution

The fourth proportional to 285,357.26, 428,064.21 and 105,489.83 is: 158,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,357.26 : 428,064.21 = 105,489.83 : x
  2. Step 2: Convert to fraction form
    285,357.26/428,064.21 = 105,489.83/x
  3. Step 3: Cross multiply
    285,357.26x = 428,064.21 × 105,489.83
  4. Step 4: Simplify right side
    285,357.26x = 45,156,418,601.66
  5. Step 5: Solve for x
    x = 45,156,418,601.66/285,357.26
  6. Step 6: Final answer
    x = 158,245.21

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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.