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Finding the Fourth Proportional to 470,214.46, 648,908.80 and 276,635.80

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Solution

The fourth proportional to 470,214.46, 648,908.80 and 276,635.80 is: 381,764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,214.46 : 648,908.80 = 276,635.80 : x
  2. Step 2: Convert to fraction form
    470,214.46/648,908.80 = 276,635.80/x
  3. Step 3: Cross multiply
    470,214.46x = 648,908.80 × 276,635.80
  4. Step 4: Simplify right side
    470,214.46x = 179,511,405,015.04
  5. Step 5: Solve for x
    x = 179,511,405,015.04/470,214.46
  6. Step 6: Final answer
    x = 381,764.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.