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Finding the Fourth Proportional to 285,415.18, 428,209.20 and 107,976.58

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Solution

The fourth proportional to 285,415.18, 428,209.20 and 107,976.58 is: 161,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,415.18 : 428,209.20 = 107,976.58 : x
  2. Step 2: Convert to fraction form
    285,415.18/428,209.20 = 107,976.58/x
  3. Step 3: Cross multiply
    285,415.18x = 428,209.20 × 107,976.58
  4. Step 4: Simplify right side
    285,415.18x = 46,236,564,940.54
  5. Step 5: Solve for x
    x = 46,236,564,940.54/285,415.18
  6. Step 6: Final answer
    x = 161,997.57

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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.