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Finding the Fourth Proportional to 313,273.60, 469,910.40 and 76,618.60

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Solution

The fourth proportional to 313,273.60, 469,910.40 and 76,618.60 is: 114,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,273.60 : 469,910.40 = 76,618.60 : x
  2. Step 2: Convert to fraction form
    313,273.60/469,910.40 = 76,618.60/x
  3. Step 3: Cross multiply
    313,273.60x = 469,910.40 × 76,618.60
  4. Step 4: Simplify right side
    313,273.60x = 36,003,876,973.44
  5. Step 5: Solve for x
    x = 36,003,876,973.44/313,273.60
  6. Step 6: Final answer
    x = 114,927.90

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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.