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Finding the Fourth Proportional to 313,845, 470,733.42 and 185,774.28

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Solution

The fourth proportional to 313,845, 470,733.42 and 185,774.28 is: 278,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,845 : 470,733.42 = 185,774.28 : x
  2. Step 2: Convert to fraction form
    313,845/470,733.42 = 185,774.28/x
  3. Step 3: Cross multiply
    313,845x = 470,733.42 × 185,774.28
  4. Step 4: Simplify right side
    313,845x = 87,450,162,172.44
  5. Step 5: Solve for x
    x = 87,450,162,172.44/313,845
  6. Step 6: Final answer
    x = 278,641.25

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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.