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Finding the Fourth Proportional to 285,858.40, 428,778.80 and 75,497.44

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Solution

The fourth proportional to 285,858.40, 428,778.80 and 75,497.44 is: 113,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858.40 : 428,778.80 = 75,497.44 : x
  2. Step 2: Convert to fraction form
    285,858.40/428,778.80 = 75,497.44/x
  3. Step 3: Cross multiply
    285,858.40x = 428,778.80 × 75,497.44
  4. Step 4: Simplify right side
    285,858.40x = 32,371,701,726.27
  5. Step 5: Solve for x
    x = 32,371,701,726.27/285,858.40
  6. Step 6: Final answer
    x = 113,243.84

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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.