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Finding the Fourth Proportional to 380,828.44, 525,753.83 and 340,445.49

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Solution

The fourth proportional to 380,828.44, 525,753.83 and 340,445.49 is: 470,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,828.44 : 525,753.83 = 340,445.49 : x
  2. Step 2: Convert to fraction form
    380,828.44/525,753.83 = 340,445.49/x
  3. Step 3: Cross multiply
    380,828.44x = 525,753.83 × 340,445.49
  4. Step 4: Simplify right side
    380,828.44x = 178,990,520,273.73
  5. Step 5: Solve for x
    x = 178,990,520,273.73/380,828.44
  6. Step 6: Final answer
    x = 470,003.03

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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.